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Finding the Fourth Proportional to 24,449.33, 36,678.71 and 10,409.10

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Solution

The fourth proportional to 24,449.33, 36,678.71 and 10,409.10 is: 15,615.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,449.33 : 36,678.71 = 10,409.10 : x
  2. Step 2: Convert to fraction form
    24,449.33/36,678.71 = 10,409.10/x
  3. Step 3: Cross multiply
    24,449.33x = 36,678.71 × 10,409.10
  4. Step 4: Simplify right side
    24,449.33x = 381,792,360.26
  5. Step 5: Solve for x
    x = 381,792,360.26/24,449.33
  6. Step 6: Final answer
    x = 15,615.66

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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.