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Finding the Fourth Proportional to 24,881, 37,321.64 and 6,413

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Solution

The fourth proportional to 24,881, 37,321.64 and 6,413 is: 9,619.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,881 : 37,321.64 = 6,413 : x
  2. Step 2: Convert to fraction form
    24,881/37,321.64 = 6,413/x
  3. Step 3: Cross multiply
    24,881x = 37,321.64 × 6,413
  4. Step 4: Simplify right side
    24,881x = 239,343,645.26
  5. Step 5: Solve for x
    x = 239,343,645.26/24,881
  6. Step 6: Final answer
    x = 9,619.53

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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.