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Finding the Fourth Proportional to 10,267.74, 14,156.64 and 8,568.69

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Solution

The fourth proportional to 10,267.74, 14,156.64 and 8,568.69 is: 11,814.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,267.74 : 14,156.64 = 8,568.69 : x
  2. Step 2: Convert to fraction form
    10,267.74/14,156.64 = 8,568.69/x
  3. Step 3: Cross multiply
    10,267.74x = 14,156.64 × 8,568.69
  4. Step 4: Simplify right side
    10,267.74x = 121,303,859.60
  5. Step 5: Solve for x
    x = 121,303,859.60/10,267.74
  6. Step 6: Final answer
    x = 11,814.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.