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Finding the Fourth Proportional to 12,924.71, 17,831.88 and 7,545.95

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Solution

The fourth proportional to 12,924.71, 17,831.88 and 7,545.95 is: 10,410.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,924.71 : 17,831.88 = 7,545.95 : x
  2. Step 2: Convert to fraction form
    12,924.71/17,831.88 = 7,545.95/x
  3. Step 3: Cross multiply
    12,924.71x = 17,831.88 × 7,545.95
  4. Step 4: Simplify right side
    12,924.71x = 134,558,385.73
  5. Step 5: Solve for x
    x = 134,558,385.73/12,924.71
  6. Step 6: Final answer
    x = 10,410.94

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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.