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Finding the Fourth Proportional to 15,359.04, 23,040 and 9,241.92

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Solution

The fourth proportional to 15,359.04, 23,040 and 9,241.92 is: 13,863.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,359.04 : 23,040 = 9,241.92 : x
  2. Step 2: Convert to fraction form
    15,359.04/23,040 = 9,241.92/x
  3. Step 3: Cross multiply
    15,359.04x = 23,040 × 9,241.92
  4. Step 4: Simplify right side
    15,359.04x = 212,933,836.80
  5. Step 5: Solve for x
    x = 212,933,836.80/15,359.04
  6. Step 6: Final answer
    x = 13,863.75

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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.