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Finding the Fourth Proportional to 24,995.34, 37,482 and 9,402

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Solution

The fourth proportional to 24,995.34, 37,482 and 9,402 is: 14,098.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,995.34 : 37,482 = 9,402 : x
  2. Step 2: Convert to fraction form
    24,995.34/37,482 = 9,402/x
  3. Step 3: Cross multiply
    24,995.34x = 37,482 × 9,402
  4. Step 4: Simplify right side
    24,995.34x = 352,405,764
  5. Step 5: Solve for x
    x = 352,405,764/24,995.34
  6. Step 6: Final answer
    x = 14,098.86

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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.