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Finding the Fourth Proportional to 17,688.22, 24,410.19 and 9,730.66

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Solution

The fourth proportional to 17,688.22, 24,410.19 and 9,730.66 is: 13,428.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,688.22 : 24,410.19 = 9,730.66 : x
  2. Step 2: Convert to fraction form
    17,688.22/24,410.19 = 9,730.66/x
  3. Step 3: Cross multiply
    17,688.22x = 24,410.19 × 9,730.66
  4. Step 4: Simplify right side
    17,688.22x = 237,527,259.43
  5. Step 5: Solve for x
    x = 237,527,259.43/17,688.22
  6. Step 6: Final answer
    x = 13,428.56

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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.