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Finding the Fourth Proportional to 10,274.20, 15,411.30 and 9,350.80

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Solution

The fourth proportional to 10,274.20, 15,411.30 and 9,350.80 is: 14,026.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,274.20 : 15,411.30 = 9,350.80 : x
  2. Step 2: Convert to fraction form
    10,274.20/15,411.30 = 9,350.80/x
  3. Step 3: Cross multiply
    10,274.20x = 15,411.30 × 9,350.80
  4. Step 4: Simplify right side
    10,274.20x = 144,107,984.04
  5. Step 5: Solve for x
    x = 144,107,984.04/10,274.20
  6. Step 6: Final answer
    x = 14,026.20

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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.