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Finding the Fourth Proportional to 12,429.17, 18,646.50 and 5,769.75

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Solution

The fourth proportional to 12,429.17, 18,646.50 and 5,769.75 is: 8,655.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,429.17 : 18,646.50 = 5,769.75 : x
  2. Step 2: Convert to fraction form
    12,429.17/18,646.50 = 5,769.75/x
  3. Step 3: Cross multiply
    12,429.17x = 18,646.50 × 5,769.75
  4. Step 4: Simplify right side
    12,429.17x = 107,585,643.38
  5. Step 5: Solve for x
    x = 107,585,643.38/12,429.17
  6. Step 6: Final answer
    x = 8,655.90

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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.