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Finding the Fourth Proportional to 14,875.25, 22,304.97 and 6,545.61

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Solution

The fourth proportional to 14,875.25, 22,304.97 and 6,545.61 is: 9,814.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,875.25 : 22,304.97 = 6,545.61 : x
  2. Step 2: Convert to fraction form
    14,875.25/22,304.97 = 6,545.61/x
  3. Step 3: Cross multiply
    14,875.25x = 22,304.97 × 6,545.61
  4. Step 4: Simplify right side
    14,875.25x = 145,999,634.68
  5. Step 5: Solve for x
    x = 145,999,634.68/14,875.25
  6. Step 6: Final answer
    x = 9,814.94

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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.