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Finding the Fourth Proportional to 12,122.84, 18,160.14 and 9,339.86

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Solution

The fourth proportional to 12,122.84, 18,160.14 and 9,339.86 is: 13,991.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,122.84 : 18,160.14 = 9,339.86 : x
  2. Step 2: Convert to fraction form
    12,122.84/18,160.14 = 9,339.86/x
  3. Step 3: Cross multiply
    12,122.84x = 18,160.14 × 9,339.86
  4. Step 4: Simplify right side
    12,122.84x = 169,613,165.18
  5. Step 5: Solve for x
    x = 169,613,165.18/12,122.84
  6. Step 6: Final answer
    x = 13,991.21

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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.