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Finding the Fourth Proportional to 27,102.80, 40,666.98 and 9,580.88

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Solution

The fourth proportional to 27,102.80, 40,666.98 and 9,580.88 is: 14,375.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,102.80 : 40,666.98 = 9,580.88 : x
  2. Step 2: Convert to fraction form
    27,102.80/40,666.98 = 9,580.88/x
  3. Step 3: Cross multiply
    27,102.80x = 40,666.98 × 9,580.88
  4. Step 4: Simplify right side
    27,102.80x = 389,625,455.34
  5. Step 5: Solve for x
    x = 389,625,455.34/27,102.80
  6. Step 6: Final answer
    x = 14,375.84

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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.