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Finding the Fourth Proportional to 15,930.64, 23,761.53 and 13,834.16

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Solution

The fourth proportional to 15,930.64, 23,761.53 and 13,834.16 is: 20,634.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,930.64 : 23,761.53 = 13,834.16 : x
  2. Step 2: Convert to fraction form
    15,930.64/23,761.53 = 13,834.16/x
  3. Step 3: Cross multiply
    15,930.64x = 23,761.53 × 13,834.16
  4. Step 4: Simplify right side
    15,930.64x = 328,720,738.69
  5. Step 5: Solve for x
    x = 328,720,738.69/15,930.64
  6. Step 6: Final answer
    x = 20,634.50

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.