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Finding the Fourth Proportional to 12,262.48, 18,397 and 3,498.16

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Solution

The fourth proportional to 12,262.48, 18,397 and 3,498.16 is: 5,248.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,262.48 : 18,397 = 3,498.16 : x
  2. Step 2: Convert to fraction form
    12,262.48/18,397 = 3,498.16/x
  3. Step 3: Cross multiply
    12,262.48x = 18,397 × 3,498.16
  4. Step 4: Simplify right side
    12,262.48x = 64,355,649.52
  5. Step 5: Solve for x
    x = 64,355,649.52/12,262.48
  6. Step 6: Final answer
    x = 5,248.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.