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Finding the Fourth Proportional to 27,182.42, 40,773.27 and 7,460.98

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Solution

The fourth proportional to 27,182.42, 40,773.27 and 7,460.98 is: 11,191.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,182.42 : 40,773.27 = 7,460.98 : x
  2. Step 2: Convert to fraction form
    27,182.42/40,773.27 = 7,460.98/x
  3. Step 3: Cross multiply
    27,182.42x = 40,773.27 × 7,460.98
  4. Step 4: Simplify right side
    27,182.42x = 304,208,552.00
  5. Step 5: Solve for x
    x = 304,208,552.00/27,182.42
  6. Step 6: Final answer
    x = 11,191.37

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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.