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Finding the Fourth Proportional to 22,854.56, 34,262.01 and 10,194.80

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Solution

The fourth proportional to 22,854.56, 34,262.01 and 10,194.80 is: 15,283.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,854.56 : 34,262.01 = 10,194.80 : x
  2. Step 2: Convert to fraction form
    22,854.56/34,262.01 = 10,194.80/x
  3. Step 3: Cross multiply
    22,854.56x = 34,262.01 × 10,194.80
  4. Step 4: Simplify right side
    22,854.56x = 349,294,168.24
  5. Step 5: Solve for x
    x = 349,294,168.24/22,854.56
  6. Step 6: Final answer
    x = 15,283.35

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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.