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Finding the Fourth Proportional to 27,114.40, 40,672.86 and 9,586

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Solution

The fourth proportional to 27,114.40, 40,672.86 and 9,586 is: 14,379.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,114.40 : 40,672.86 = 9,586 : x
  2. Step 2: Convert to fraction form
    27,114.40/40,672.86 = 9,586/x
  3. Step 3: Cross multiply
    27,114.40x = 40,672.86 × 9,586
  4. Step 4: Simplify right side
    27,114.40x = 389,890,035.96
  5. Step 5: Solve for x
    x = 389,890,035.96/27,114.40
  6. Step 6: Final answer
    x = 14,379.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.