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Finding the Fourth Proportional to 14,551.96, 20,081.10 and 8,264.68

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Solution

The fourth proportional to 14,551.96, 20,081.10 and 8,264.68 is: 11,404.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,551.96 : 20,081.10 = 8,264.68 : x
  2. Step 2: Convert to fraction form
    14,551.96/20,081.10 = 8,264.68/x
  3. Step 3: Cross multiply
    14,551.96x = 20,081.10 × 8,264.68
  4. Step 4: Simplify right side
    14,551.96x = 165,963,865.55
  5. Step 5: Solve for x
    x = 165,963,865.55/14,551.96
  6. Step 6: Final answer
    x = 11,404.91

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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.