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Finding the Fourth Proportional to 23,148.42, 34,728.12 and 7,566

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Solution

The fourth proportional to 23,148.42, 34,728.12 and 7,566 is: 11,350.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,148.42 : 34,728.12 = 7,566 : x
  2. Step 2: Convert to fraction form
    23,148.42/34,728.12 = 7,566/x
  3. Step 3: Cross multiply
    23,148.42x = 34,728.12 × 7,566
  4. Step 4: Simplify right side
    23,148.42x = 262,752,955.92
  5. Step 5: Solve for x
    x = 262,752,955.92/23,148.42
  6. Step 6: Final answer
    x = 11,350.79

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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.