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Finding the Fourth Proportional to 31,545.63, 43,532.64 and 17,398.17

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Solution

The fourth proportional to 31,545.63, 43,532.64 and 17,398.17 is: 24,009.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,545.63 : 43,532.64 = 17,398.17 : x
  2. Step 2: Convert to fraction form
    31,545.63/43,532.64 = 17,398.17/x
  3. Step 3: Cross multiply
    31,545.63x = 43,532.64 × 17,398.17
  4. Step 4: Simplify right side
    31,545.63x = 757,388,271.27
  5. Step 5: Solve for x
    x = 757,388,271.27/31,545.63
  6. Step 6: Final answer
    x = 24,009.29

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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.