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Finding the Fourth Proportional to 27,508.98, 41,269.54 and 9,980.18

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Solution

The fourth proportional to 27,508.98, 41,269.54 and 9,980.18 is: 14,972.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,508.98 : 41,269.54 = 9,980.18 : x
  2. Step 2: Convert to fraction form
    27,508.98/41,269.54 = 9,980.18/x
  3. Step 3: Cross multiply
    27,508.98x = 41,269.54 × 9,980.18
  4. Step 4: Simplify right side
    27,508.98x = 411,877,437.72
  5. Step 5: Solve for x
    x = 411,877,437.72/27,508.98
  6. Step 6: Final answer
    x = 14,972.47

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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.