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Finding the Fourth Proportional to 10,267.20, 15,400.80 and 9,662.40

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Solution

The fourth proportional to 10,267.20, 15,400.80 and 9,662.40 is: 14,493.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,267.20 : 15,400.80 = 9,662.40 : x
  2. Step 2: Convert to fraction form
    10,267.20/15,400.80 = 9,662.40/x
  3. Step 3: Cross multiply
    10,267.20x = 15,400.80 × 9,662.40
  4. Step 4: Simplify right side
    10,267.20x = 148,808,689.92
  5. Step 5: Solve for x
    x = 148,808,689.92/10,267.20
  6. Step 6: Final answer
    x = 14,493.60

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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.