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Finding the Fourth Proportional to 15,097.66, 22,634.57 and 9,539.27

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Solution

The fourth proportional to 15,097.66, 22,634.57 and 9,539.27 is: 14,301.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,097.66 : 22,634.57 = 9,539.27 : x
  2. Step 2: Convert to fraction form
    15,097.66/22,634.57 = 9,539.27/x
  3. Step 3: Cross multiply
    15,097.66x = 22,634.57 × 9,539.27
  4. Step 4: Simplify right side
    15,097.66x = 215,917,270.12
  5. Step 5: Solve for x
    x = 215,917,270.12/15,097.66
  6. Step 6: Final answer
    x = 14,301.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.