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Finding the Fourth Proportional to 14,645.92, 21,965.50 and 4,116.76

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Solution

The fourth proportional to 14,645.92, 21,965.50 and 4,116.76 is: 6,174.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,645.92 : 21,965.50 = 4,116.76 : x
  2. Step 2: Convert to fraction form
    14,645.92/21,965.50 = 4,116.76/x
  3. Step 3: Cross multiply
    14,645.92x = 21,965.50 × 4,116.76
  4. Step 4: Simplify right side
    14,645.92x = 90,426,691.78
  5. Step 5: Solve for x
    x = 90,426,691.78/14,645.92
  6. Step 6: Final answer
    x = 6,174.19

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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.