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Finding the Fourth Proportional to 24,036.52, 36,045.04 and 9,987

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Solution

The fourth proportional to 24,036.52, 36,045.04 and 9,987 is: 14,976.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,036.52 : 36,045.04 = 9,987 : x
  2. Step 2: Convert to fraction form
    24,036.52/36,045.04 = 9,987/x
  3. Step 3: Cross multiply
    24,036.52x = 36,045.04 × 9,987
  4. Step 4: Simplify right side
    24,036.52x = 359,981,814.48
  5. Step 5: Solve for x
    x = 359,981,814.48/24,036.52
  6. Step 6: Final answer
    x = 14,976.45

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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.