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Finding the Fourth Proportional to 10,281.20, 15,421.80 and 8,434.40

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Solution

The fourth proportional to 10,281.20, 15,421.80 and 8,434.40 is: 12,651.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,281.20 : 15,421.80 = 8,434.40 : x
  2. Step 2: Convert to fraction form
    10,281.20/15,421.80 = 8,434.40/x
  3. Step 3: Cross multiply
    10,281.20x = 15,421.80 × 8,434.40
  4. Step 4: Simplify right side
    10,281.20x = 130,073,629.92
  5. Step 5: Solve for x
    x = 130,073,629.92/10,281.20
  6. Step 6: Final answer
    x = 12,651.60

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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.