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Finding the Fourth Proportional to 27,114.71, 40,672.06 and 7,392.83

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Solution

The fourth proportional to 27,114.71, 40,672.06 and 7,392.83 is: 11,089.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,114.71 : 40,672.06 = 7,392.83 : x
  2. Step 2: Convert to fraction form
    27,114.71/40,672.06 = 7,392.83/x
  3. Step 3: Cross multiply
    27,114.71x = 40,672.06 × 7,392.83
  4. Step 4: Simplify right side
    27,114.71x = 300,681,403.49
  5. Step 5: Solve for x
    x = 300,681,403.49/27,114.71
  6. Step 6: Final answer
    x = 11,089.24

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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.