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Finding the Fourth Proportional to 12,032.76, 18,049.32 and 3,712.68

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Solution

The fourth proportional to 12,032.76, 18,049.32 and 3,712.68 is: 5,569.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,032.76 : 18,049.32 = 3,712.68 : x
  2. Step 2: Convert to fraction form
    12,032.76/18,049.32 = 3,712.68/x
  3. Step 3: Cross multiply
    12,032.76x = 18,049.32 × 3,712.68
  4. Step 4: Simplify right side
    12,032.76x = 67,011,349.38
  5. Step 5: Solve for x
    x = 67,011,349.38/12,032.76
  6. Step 6: Final answer
    x = 5,569.08

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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.