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Finding the Fourth Proportional to 12,122.76, 18,167.04 and 9,646.56

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Solution

The fourth proportional to 12,122.76, 18,167.04 and 9,646.56 is: 14,456.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,122.76 : 18,167.04 = 9,646.56 : x
  2. Step 2: Convert to fraction form
    12,122.76/18,167.04 = 9,646.56/x
  3. Step 3: Cross multiply
    12,122.76x = 18,167.04 × 9,646.56
  4. Step 4: Simplify right side
    12,122.76x = 175,249,441.38
  5. Step 5: Solve for x
    x = 175,249,441.38/12,122.76
  6. Step 6: Final answer
    x = 14,456.23

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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.