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Finding the Fourth Proportional to 24,701.28, 37,051.86 and 6,233.28

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Solution

The fourth proportional to 24,701.28, 37,051.86 and 6,233.28 is: 9,349.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,701.28 : 37,051.86 = 6,233.28 : x
  2. Step 2: Convert to fraction form
    24,701.28/37,051.86 = 6,233.28/x
  3. Step 3: Cross multiply
    24,701.28x = 37,051.86 × 6,233.28
  4. Step 4: Simplify right side
    24,701.28x = 230,954,617.90
  5. Step 5: Solve for x
    x = 230,954,617.90/24,701.28
  6. Step 6: Final answer
    x = 9,349.90

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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.