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Finding the Fourth Proportional to 27,817.74, 38,366.14 and 24,453.40

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Solution

The fourth proportional to 27,817.74, 38,366.14 and 24,453.40 is: 33,726.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,817.74 : 38,366.14 = 24,453.40 : x
  2. Step 2: Convert to fraction form
    27,817.74/38,366.14 = 24,453.40/x
  3. Step 3: Cross multiply
    27,817.74x = 38,366.14 × 24,453.40
  4. Step 4: Simplify right side
    27,817.74x = 938,182,567.88
  5. Step 5: Solve for x
    x = 938,182,567.88/27,817.74
  6. Step 6: Final answer
    x = 33,726.05

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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.