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Finding the Fourth Proportional to 22,938.48, 31,657.50 and 12,869.64

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Solution

The fourth proportional to 22,938.48, 31,657.50 and 12,869.64 is: 17,761.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,938.48 : 31,657.50 = 12,869.64 : x
  2. Step 2: Convert to fraction form
    22,938.48/31,657.50 = 12,869.64/x
  3. Step 3: Cross multiply
    22,938.48x = 31,657.50 × 12,869.64
  4. Step 4: Simplify right side
    22,938.48x = 407,420,628.30
  5. Step 5: Solve for x
    x = 407,420,628.30/22,938.48
  6. Step 6: Final answer
    x = 17,761.45

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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.