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Finding the Fourth Proportional to 24,337, 36,507.30 and 10,486

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Solution

The fourth proportional to 24,337, 36,507.30 and 10,486 is: 15,729.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,337 : 36,507.30 = 10,486 : x
  2. Step 2: Convert to fraction form
    24,337/36,507.30 = 10,486/x
  3. Step 3: Cross multiply
    24,337x = 36,507.30 × 10,486
  4. Step 4: Simplify right side
    24,337x = 382,815,547.80
  5. Step 5: Solve for x
    x = 382,815,547.80/24,337
  6. Step 6: Final answer
    x = 15,729.78

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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.