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Finding the Fourth Proportional to 27,156.25, 40,732.55 and 7,434.98

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Solution

The fourth proportional to 27,156.25, 40,732.55 and 7,434.98 is: 11,151.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,156.25 : 40,732.55 = 7,434.98 : x
  2. Step 2: Convert to fraction form
    27,156.25/40,732.55 = 7,434.98/x
  3. Step 3: Cross multiply
    27,156.25x = 40,732.55 × 7,434.98
  4. Step 4: Simplify right side
    27,156.25x = 302,845,694.60
  5. Step 5: Solve for x
    x = 302,845,694.60/27,156.25
  6. Step 6: Final answer
    x = 11,151.97

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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.