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Finding the Fourth Proportional to 22,681.40, 31,295.76 and 13,248.14

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Solution

The fourth proportional to 22,681.40, 31,295.76 and 13,248.14 is: 18,279.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,681.40 : 31,295.76 = 13,248.14 : x
  2. Step 2: Convert to fraction form
    22,681.40/31,295.76 = 13,248.14/x
  3. Step 3: Cross multiply
    22,681.40x = 31,295.76 × 13,248.14
  4. Step 4: Simplify right side
    22,681.40x = 414,610,453.41
  5. Step 5: Solve for x
    x = 414,610,453.41/22,681.40
  6. Step 6: Final answer
    x = 18,279.76

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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.