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Finding the Fourth Proportional to 24,189.47, 36,288.47 and 11,043.17

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Solution

The fourth proportional to 24,189.47, 36,288.47 and 11,043.17 is: 16,566.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,189.47 : 36,288.47 = 11,043.17 : x
  2. Step 2: Convert to fraction form
    24,189.47/36,288.47 = 11,043.17/x
  3. Step 3: Cross multiply
    24,189.47x = 36,288.47 × 11,043.17
  4. Step 4: Simplify right side
    24,189.47x = 400,739,867.50
  5. Step 5: Solve for x
    x = 400,739,867.50/24,189.47
  6. Step 6: Final answer
    x = 16,566.70

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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.