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Finding the Fourth Proportional to 27,505.98, 41,265.05 and 9,977.18

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Solution

The fourth proportional to 27,505.98, 41,265.05 and 9,977.18 is: 14,967.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,505.98 : 41,265.05 = 9,977.18 : x
  2. Step 2: Convert to fraction form
    27,505.98/41,265.05 = 9,977.18/x
  3. Step 3: Cross multiply
    27,505.98x = 41,265.05 × 9,977.18
  4. Step 4: Simplify right side
    27,505.98x = 411,708,575.35
  5. Step 5: Solve for x
    x = 411,708,575.35/27,505.98
  6. Step 6: Final answer
    x = 14,967.97

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