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Finding the Fourth Proportional to 11,567.70, 17,337.98 and 10,178.15

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Solution

The fourth proportional to 11,567.70, 17,337.98 and 10,178.15 is: 15,255.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,567.70 : 17,337.98 = 10,178.15 : x
  2. Step 2: Convert to fraction form
    11,567.70/17,337.98 = 10,178.15/x
  3. Step 3: Cross multiply
    11,567.70x = 17,337.98 × 10,178.15
  4. Step 4: Simplify right side
    11,567.70x = 176,468,499.89
  5. Step 5: Solve for x
    x = 176,468,499.89/11,567.70
  6. Step 6: Final answer
    x = 15,255.28

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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.