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Finding the Fourth Proportional to 27,098, 40,659.96 and 9,576.08

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Solution

The fourth proportional to 27,098, 40,659.96 and 9,576.08 is: 14,368.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,098 : 40,659.96 = 9,576.08 : x
  2. Step 2: Convert to fraction form
    27,098/40,659.96 = 9,576.08/x
  3. Step 3: Cross multiply
    27,098x = 40,659.96 × 9,576.08
  4. Step 4: Simplify right side
    27,098x = 389,363,029.76
  5. Step 5: Solve for x
    x = 389,363,029.76/27,098
  6. Step 6: Final answer
    x = 14,368.70

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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.