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Finding the Fourth Proportional to 20,710.04, 31,062.90 and 5,918

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Solution

The fourth proportional to 20,710.04, 31,062.90 and 5,918 is: 8,876.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,710.04 : 31,062.90 = 5,918 : x
  2. Step 2: Convert to fraction form
    20,710.04/31,062.90 = 5,918/x
  3. Step 3: Cross multiply
    20,710.04x = 31,062.90 × 5,918
  4. Step 4: Simplify right side
    20,710.04x = 183,830,242.20
  5. Step 5: Solve for x
    x = 183,830,242.20/20,710.04
  6. Step 6: Final answer
    x = 8,876.38

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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.