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Finding the Fourth Proportional to 16,248.91, 24,374.28 and 5,156.50

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Solution

The fourth proportional to 16,248.91, 24,374.28 and 5,156.50 is: 7,735.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,248.91 : 24,374.28 = 5,156.50 : x
  2. Step 2: Convert to fraction form
    16,248.91/24,374.28 = 5,156.50/x
  3. Step 3: Cross multiply
    16,248.91x = 24,374.28 × 5,156.50
  4. Step 4: Simplify right side
    16,248.91x = 125,685,974.82
  5. Step 5: Solve for x
    x = 125,685,974.82/16,248.91
  6. Step 6: Final answer
    x = 7,735.04

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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.