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Finding the Fourth Proportional to 27,710.24, 38,242.53 and 22,663.76

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Solution

The fourth proportional to 27,710.24, 38,242.53 and 22,663.76 is: 31,277.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,710.24 : 38,242.53 = 22,663.76 : x
  2. Step 2: Convert to fraction form
    27,710.24/38,242.53 = 22,663.76/x
  3. Step 3: Cross multiply
    27,710.24x = 38,242.53 × 22,663.76
  4. Step 4: Simplify right side
    27,710.24x = 866,719,330.50
  5. Step 5: Solve for x
    x = 866,719,330.50/27,710.24
  6. Step 6: Final answer
    x = 31,277.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.