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Finding the Fourth Proportional to 10,222.40, 15,314.04 and 8,567.11

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Solution

The fourth proportional to 10,222.40, 15,314.04 and 8,567.11 is: 12,834.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,222.40 : 15,314.04 = 8,567.11 : x
  2. Step 2: Convert to fraction form
    10,222.40/15,314.04 = 8,567.11/x
  3. Step 3: Cross multiply
    10,222.40x = 15,314.04 × 8,567.11
  4. Step 4: Simplify right side
    10,222.40x = 131,197,026.94
  5. Step 5: Solve for x
    x = 131,197,026.94/10,222.40
  6. Step 6: Final answer
    x = 12,834.27

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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.