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Finding the Fourth Proportional to 10,269.64, 14,174.49 and 8,588.17

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Solution

The fourth proportional to 10,269.64, 14,174.49 and 8,588.17 is: 11,853.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,269.64 : 14,174.49 = 8,588.17 : x
  2. Step 2: Convert to fraction form
    10,269.64/14,174.49 = 8,588.17/x
  3. Step 3: Cross multiply
    10,269.64x = 14,174.49 × 8,588.17
  4. Step 4: Simplify right side
    10,269.64x = 121,732,929.78
  5. Step 5: Solve for x
    x = 121,732,929.78/10,269.64
  6. Step 6: Final answer
    x = 11,853.67

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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.