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Finding the Fourth Proportional to 24,384.75, 36,577.07 and 9,585.54

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Solution

The fourth proportional to 24,384.75, 36,577.07 and 9,585.54 is: 14,378.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,384.75 : 36,577.07 = 9,585.54 : x
  2. Step 2: Convert to fraction form
    24,384.75/36,577.07 = 9,585.54/x
  3. Step 3: Cross multiply
    24,384.75x = 36,577.07 × 9,585.54
  4. Step 4: Simplify right side
    24,384.75x = 350,610,955.59
  5. Step 5: Solve for x
    x = 350,610,955.59/24,384.75
  6. Step 6: Final answer
    x = 14,378.29

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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.