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Finding the Fourth Proportional to 10,241.32, 15,348.66 and 8,919.40

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Solution

The fourth proportional to 10,241.32, 15,348.66 and 8,919.40 is: 13,367.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,241.32 : 15,348.66 = 8,919.40 : x
  2. Step 2: Convert to fraction form
    10,241.32/15,348.66 = 8,919.40/x
  3. Step 3: Cross multiply
    10,241.32x = 15,348.66 × 8,919.40
  4. Step 4: Simplify right side
    10,241.32x = 136,900,838.00
  5. Step 5: Solve for x
    x = 136,900,838.00/10,241.32
  6. Step 6: Final answer
    x = 13,367.50

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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.