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Finding the Fourth Proportional to 24,313.36, 36,470.04 and 6,783.16

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Solution

The fourth proportional to 24,313.36, 36,470.04 and 6,783.16 is: 10,174.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,313.36 : 36,470.04 = 6,783.16 : x
  2. Step 2: Convert to fraction form
    24,313.36/36,470.04 = 6,783.16/x
  3. Step 3: Cross multiply
    24,313.36x = 36,470.04 × 6,783.16
  4. Step 4: Simplify right side
    24,313.36x = 247,382,116.53
  5. Step 5: Solve for x
    x = 247,382,116.53/24,313.36
  6. Step 6: Final answer
    x = 10,174.74

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.