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Finding the Fourth Proportional to 22,679.04, 34,010.16 and 7,884

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Solution

The fourth proportional to 22,679.04, 34,010.16 and 7,884 is: 11,823.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,679.04 : 34,010.16 = 7,884 : x
  2. Step 2: Convert to fraction form
    22,679.04/34,010.16 = 7,884/x
  3. Step 3: Cross multiply
    22,679.04x = 34,010.16 × 7,884
  4. Step 4: Simplify right side
    22,679.04x = 268,136,101.44
  5. Step 5: Solve for x
    x = 268,136,101.44/22,679.04
  6. Step 6: Final answer
    x = 11,823.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.