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Finding the Fourth Proportional to 22,952.64, 31,677.88 and 13,395.68

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Solution

The fourth proportional to 22,952.64, 31,677.88 and 13,395.68 is: 18,487.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,952.64 : 31,677.88 = 13,395.68 : x
  2. Step 2: Convert to fraction form
    22,952.64/31,677.88 = 13,395.68/x
  3. Step 3: Cross multiply
    22,952.64x = 31,677.88 × 13,395.68
  4. Step 4: Simplify right side
    22,952.64x = 424,346,743.56
  5. Step 5: Solve for x
    x = 424,346,743.56/22,952.64
  6. Step 6: Final answer
    x = 18,487.93

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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.