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Finding the Fourth Proportional to 24,021.71, 36,033.87 and 9,983.15

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Solution

The fourth proportional to 24,021.71, 36,033.87 and 9,983.15 is: 14,975.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,021.71 : 36,033.87 = 9,983.15 : x
  2. Step 2: Convert to fraction form
    24,021.71/36,033.87 = 9,983.15/x
  3. Step 3: Cross multiply
    24,021.71x = 36,033.87 × 9,983.15
  4. Step 4: Simplify right side
    24,021.71x = 359,731,349.12
  5. Step 5: Solve for x
    x = 359,731,349.12/24,021.71
  6. Step 6: Final answer
    x = 14,975.26

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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.