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Finding the Fourth Proportional to 24,701.14, 37,051.70 and 6,233.14

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Solution

The fourth proportional to 24,701.14, 37,051.70 and 6,233.14 is: 9,349.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,701.14 : 37,051.70 = 6,233.14 : x
  2. Step 2: Convert to fraction form
    24,701.14/37,051.70 = 6,233.14/x
  3. Step 3: Cross multiply
    24,701.14x = 37,051.70 × 6,233.14
  4. Step 4: Simplify right side
    24,701.14x = 230,948,433.34
  5. Step 5: Solve for x
    x = 230,948,433.34/24,701.14
  6. Step 6: Final answer
    x = 9,349.71

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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.