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Finding the Fourth Proportional to 24,705.14, 37,060.14 and 9,119.12

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Solution

The fourth proportional to 24,705.14, 37,060.14 and 9,119.12 is: 13,679.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,705.14 : 37,060.14 = 9,119.12 : x
  2. Step 2: Convert to fraction form
    24,705.14/37,060.14 = 9,119.12/x
  3. Step 3: Cross multiply
    24,705.14x = 37,060.14 × 9,119.12
  4. Step 4: Simplify right side
    24,705.14x = 337,955,863.88
  5. Step 5: Solve for x
    x = 337,955,863.88/24,705.14
  6. Step 6: Final answer
    x = 13,679.58

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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.