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Finding the Fourth Proportional to 11,545.29, 17,330.19 and 9,380.16

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Solution

The fourth proportional to 11,545.29, 17,330.19 and 9,380.16 is: 14,080.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,545.29 : 17,330.19 = 9,380.16 : x
  2. Step 2: Convert to fraction form
    11,545.29/17,330.19 = 9,380.16/x
  3. Step 3: Cross multiply
    11,545.29x = 17,330.19 × 9,380.16
  4. Step 4: Simplify right side
    11,545.29x = 162,559,955.03
  5. Step 5: Solve for x
    x = 162,559,955.03/11,545.29
  6. Step 6: Final answer
    x = 14,080.20

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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.