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Finding the Fourth Proportional to 22,805, 31,470.59 and 12,733.61

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Solution

The fourth proportional to 22,805, 31,470.59 and 12,733.61 is: 17,572.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,805 : 31,470.59 = 12,733.61 : x
  2. Step 2: Convert to fraction form
    22,805/31,470.59 = 12,733.61/x
  3. Step 3: Cross multiply
    22,805x = 31,470.59 × 12,733.61
  4. Step 4: Simplify right side
    22,805x = 400,734,219.53
  5. Step 5: Solve for x
    x = 400,734,219.53/22,805
  6. Step 6: Final answer
    x = 17,572.21

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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.