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Finding the Fourth Proportional to 16,543.85, 24,789.29 and 14,865.30

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Solution

The fourth proportional to 16,543.85, 24,789.29 and 14,865.30 is: 22,274.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,543.85 : 24,789.29 = 14,865.30 : x
  2. Step 2: Convert to fraction form
    16,543.85/24,789.29 = 14,865.30/x
  3. Step 3: Cross multiply
    16,543.85x = 24,789.29 × 14,865.30
  4. Step 4: Simplify right side
    16,543.85x = 368,500,158.31
  5. Step 5: Solve for x
    x = 368,500,158.31/16,543.85
  6. Step 6: Final answer
    x = 22,274.15

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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.