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Finding the Fourth Proportional to 15,811.74, 21,819.51 and 9,522.90

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Solution

The fourth proportional to 15,811.74, 21,819.51 and 9,522.90 is: 13,141.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,811.74 : 21,819.51 = 9,522.90 : x
  2. Step 2: Convert to fraction form
    15,811.74/21,819.51 = 9,522.90/x
  3. Step 3: Cross multiply
    15,811.74x = 21,819.51 × 9,522.90
  4. Step 4: Simplify right side
    15,811.74x = 207,785,011.78
  5. Step 5: Solve for x
    x = 207,785,011.78/15,811.74
  6. Step 6: Final answer
    x = 13,141.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.