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Finding the Fourth Proportional to 14,965.17, 22,447.61 and 5,731.17

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Solution

The fourth proportional to 14,965.17, 22,447.61 and 5,731.17 is: 8,596.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,965.17 : 22,447.61 = 5,731.17 : x
  2. Step 2: Convert to fraction form
    14,965.17/22,447.61 = 5,731.17/x
  3. Step 3: Cross multiply
    14,965.17x = 22,447.61 × 5,731.17
  4. Step 4: Simplify right side
    14,965.17x = 128,650,977.66
  5. Step 5: Solve for x
    x = 128,650,977.66/14,965.17
  6. Step 6: Final answer
    x = 8,596.70

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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.