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Finding the Fourth Proportional to 24,465.78, 36,710.82 and 9,685.31

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Solution

The fourth proportional to 24,465.78, 36,710.82 and 9,685.31 is: 14,532.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,465.78 : 36,710.82 = 9,685.31 : x
  2. Step 2: Convert to fraction form
    24,465.78/36,710.82 = 9,685.31/x
  3. Step 3: Cross multiply
    24,465.78x = 36,710.82 × 9,685.31
  4. Step 4: Simplify right side
    24,465.78x = 355,555,488.50
  5. Step 5: Solve for x
    x = 355,555,488.50/24,465.78
  6. Step 6: Final answer
    x = 14,532.77

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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.