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Finding the Fourth Proportional to 23,130.39, 34,701.03 and 7,548

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Solution

The fourth proportional to 23,130.39, 34,701.03 and 7,548 is: 11,323.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,130.39 : 34,701.03 = 7,548 : x
  2. Step 2: Convert to fraction form
    23,130.39/34,701.03 = 7,548/x
  3. Step 3: Cross multiply
    23,130.39x = 34,701.03 × 7,548
  4. Step 4: Simplify right side
    23,130.39x = 261,923,374.44
  5. Step 5: Solve for x
    x = 261,923,374.44/23,130.39
  6. Step 6: Final answer
    x = 11,323.78

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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.