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Finding the Fourth Proportional to 10,609.85, 14,656.53 and 10,049.34

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Solution

The fourth proportional to 10,609.85, 14,656.53 and 10,049.34 is: 13,882.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,609.85 : 14,656.53 = 10,049.34 : x
  2. Step 2: Convert to fraction form
    10,609.85/14,656.53 = 10,049.34/x
  3. Step 3: Cross multiply
    10,609.85x = 14,656.53 × 10,049.34
  4. Step 4: Simplify right side
    10,609.85x = 147,288,453.19
  5. Step 5: Solve for x
    x = 147,288,453.19/10,609.85
  6. Step 6: Final answer
    x = 13,882.24

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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.