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Finding the Fourth Proportional to 24,037.52, 36,046.54 and 9,988

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Solution

The fourth proportional to 24,037.52, 36,046.54 and 9,988 is: 14,977.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,037.52 : 36,046.54 = 9,988 : x
  2. Step 2: Convert to fraction form
    24,037.52/36,046.54 = 9,988/x
  3. Step 3: Cross multiply
    24,037.52x = 36,046.54 × 9,988
  4. Step 4: Simplify right side
    24,037.52x = 360,032,841.52
  5. Step 5: Solve for x
    x = 360,032,841.52/24,037.52
  6. Step 6: Final answer
    x = 14,977.95

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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.