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Finding the Fourth Proportional to 16,037.52, 24,055.74 and 5,649

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Solution

The fourth proportional to 16,037.52, 24,055.74 and 5,649 is: 8,473.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,037.52 : 24,055.74 = 5,649 : x
  2. Step 2: Convert to fraction form
    16,037.52/24,055.74 = 5,649/x
  3. Step 3: Cross multiply
    16,037.52x = 24,055.74 × 5,649
  4. Step 4: Simplify right side
    16,037.52x = 135,890,875.26
  5. Step 5: Solve for x
    x = 135,890,875.26/16,037.52
  6. Step 6: Final answer
    x = 8,473.31

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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.