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Finding the Fourth Proportional to 14,124.52, 21,182.74 and 5,691

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Solution

The fourth proportional to 14,124.52, 21,182.74 and 5,691 is: 8,534.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,124.52 : 21,182.74 = 5,691 : x
  2. Step 2: Convert to fraction form
    14,124.52/21,182.74 = 5,691/x
  3. Step 3: Cross multiply
    14,124.52x = 21,182.74 × 5,691
  4. Step 4: Simplify right side
    14,124.52x = 120,550,973.34
  5. Step 5: Solve for x
    x = 120,550,973.34/14,124.52
  6. Step 6: Final answer
    x = 8,534.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.