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Finding the Fourth Proportional to 22,573.50, 31,151.46 and 12,637.50

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Solution

The fourth proportional to 22,573.50, 31,151.46 and 12,637.50 is: 17,439.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,573.50 : 31,151.46 = 12,637.50 : x
  2. Step 2: Convert to fraction form
    22,573.50/31,151.46 = 12,637.50/x
  3. Step 3: Cross multiply
    22,573.50x = 31,151.46 × 12,637.50
  4. Step 4: Simplify right side
    22,573.50x = 393,676,575.75
  5. Step 5: Solve for x
    x = 393,676,575.75/22,573.50
  6. Step 6: Final answer
    x = 17,439.77

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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.