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Finding the Fourth Proportional to 12,266.70, 18,421.65 and 9,500.10

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Solution

The fourth proportional to 12,266.70, 18,421.65 and 9,500.10 is: 14,266.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,266.70 : 18,421.65 = 9,500.10 : x
  2. Step 2: Convert to fraction form
    12,266.70/18,421.65 = 9,500.10/x
  3. Step 3: Cross multiply
    12,266.70x = 18,421.65 × 9,500.10
  4. Step 4: Simplify right side
    12,266.70x = 175,007,517.17
  5. Step 5: Solve for x
    x = 175,007,517.17/12,266.70
  6. Step 6: Final answer
    x = 14,266.88

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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.