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Finding the Fourth Proportional to 15,773.60, 21,759.96 and 9,812.24

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Solution

The fourth proportional to 15,773.60, 21,759.96 and 9,812.24 is: 13,536.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,773.60 : 21,759.96 = 9,812.24 : x
  2. Step 2: Convert to fraction form
    15,773.60/21,759.96 = 9,812.24/x
  3. Step 3: Cross multiply
    15,773.60x = 21,759.96 × 9,812.24
  4. Step 4: Simplify right side
    15,773.60x = 213,513,949.91
  5. Step 5: Solve for x
    x = 213,513,949.91/15,773.60
  6. Step 6: Final answer
    x = 13,536.16

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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.