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Finding the Fourth Proportional to 24,468.13, 36,699.85 and 7,823.68

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Solution

The fourth proportional to 24,468.13, 36,699.85 and 7,823.68 is: 11,734.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,468.13 : 36,699.85 = 7,823.68 : x
  2. Step 2: Convert to fraction form
    24,468.13/36,699.85 = 7,823.68/x
  3. Step 3: Cross multiply
    24,468.13x = 36,699.85 × 7,823.68
  4. Step 4: Simplify right side
    24,468.13x = 287,127,882.45
  5. Step 5: Solve for x
    x = 287,127,882.45/24,468.13
  6. Step 6: Final answer
    x = 11,734.77

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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.