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Finding the Fourth Proportional to 16,458.49, 24,691.44 and 5,214.50

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Solution

The fourth proportional to 16,458.49, 24,691.44 and 5,214.50 is: 7,822.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,458.49 : 24,691.44 = 5,214.50 : x
  2. Step 2: Convert to fraction form
    16,458.49/24,691.44 = 5,214.50/x
  3. Step 3: Cross multiply
    16,458.49x = 24,691.44 × 5,214.50
  4. Step 4: Simplify right side
    16,458.49x = 128,753,562.74
  5. Step 5: Solve for x
    x = 128,753,562.74/16,458.49
  6. Step 6: Final answer
    x = 7,822.93

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Why These Related Problems?

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