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Finding the Fourth Proportional to 27,985.40, 41,963.70 and 10,446.20

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Solution

The fourth proportional to 27,985.40, 41,963.70 and 10,446.20 is: 15,663.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,985.40 : 41,963.70 = 10,446.20 : x
  2. Step 2: Convert to fraction form
    27,985.40/41,963.70 = 10,446.20/x
  3. Step 3: Cross multiply
    27,985.40x = 41,963.70 × 10,446.20
  4. Step 4: Simplify right side
    27,985.40x = 438,361,202.94
  5. Step 5: Solve for x
    x = 438,361,202.94/27,985.40
  6. Step 6: Final answer
    x = 15,663.92

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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.