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Finding the Fourth Proportional to 24,635, 36,952.50 and 10,784.04

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Solution

The fourth proportional to 24,635, 36,952.50 and 10,784.04 is: 16,176.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,635 : 36,952.50 = 10,784.04 : x
  2. Step 2: Convert to fraction form
    24,635/36,952.50 = 10,784.04/x
  3. Step 3: Cross multiply
    24,635x = 36,952.50 × 10,784.04
  4. Step 4: Simplify right side
    24,635x = 398,497,238.10
  5. Step 5: Solve for x
    x = 398,497,238.10/24,635
  6. Step 6: Final answer
    x = 16,176.06

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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.