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Finding the Fourth Proportional to 12,197.48, 18,294.10 and 3,430.32

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Solution

The fourth proportional to 12,197.48, 18,294.10 and 3,430.32 is: 5,144.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,197.48 : 18,294.10 = 3,430.32 : x
  2. Step 2: Convert to fraction form
    12,197.48/18,294.10 = 3,430.32/x
  3. Step 3: Cross multiply
    12,197.48x = 18,294.10 × 3,430.32
  4. Step 4: Simplify right side
    12,197.48x = 62,754,617.11
  5. Step 5: Solve for x
    x = 62,754,617.11/12,197.48
  6. Step 6: Final answer
    x = 5,144.88

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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.