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Finding the Fourth Proportional to 24,885, 37,328.22 and 6,417

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Solution

The fourth proportional to 24,885, 37,328.22 and 6,417 is: 9,625.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,885 : 37,328.22 = 6,417 : x
  2. Step 2: Convert to fraction form
    24,885/37,328.22 = 6,417/x
  3. Step 3: Cross multiply
    24,885x = 37,328.22 × 6,417
  4. Step 4: Simplify right side
    24,885x = 239,535,187.74
  5. Step 5: Solve for x
    x = 239,535,187.74/24,885
  6. Step 6: Final answer
    x = 9,625.69

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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.