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Finding the Fourth Proportional to 23,542.98, 35,305.08 and 10,386

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Solution

The fourth proportional to 23,542.98, 35,305.08 and 10,386 is: 15,574.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,542.98 : 35,305.08 = 10,386 : x
  2. Step 2: Convert to fraction form
    23,542.98/35,305.08 = 10,386/x
  3. Step 3: Cross multiply
    23,542.98x = 35,305.08 × 10,386
  4. Step 4: Simplify right side
    23,542.98x = 366,678,560.88
  5. Step 5: Solve for x
    x = 366,678,560.88/23,542.98
  6. Step 6: Final answer
    x = 15,574.86

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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.