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Finding the Fourth Proportional to 23,142.33, 34,708.08 and 6,503.95

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Solution

The fourth proportional to 23,142.33, 34,708.08 and 6,503.95 is: 9,754.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,142.33 : 34,708.08 = 6,503.95 : x
  2. Step 2: Convert to fraction form
    23,142.33/34,708.08 = 6,503.95/x
  3. Step 3: Cross multiply
    23,142.33x = 34,708.08 × 6,503.95
  4. Step 4: Simplify right side
    23,142.33x = 225,739,616.92
  5. Step 5: Solve for x
    x = 225,739,616.92/23,142.33
  6. Step 6: Final answer
    x = 9,754.40

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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.