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Finding the Fourth Proportional to 27,498.69, 41,255.33 and 9,971.10

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Solution

The fourth proportional to 27,498.69, 41,255.33 and 9,971.10 is: 14,959.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,498.69 : 41,255.33 = 9,971.10 : x
  2. Step 2: Convert to fraction form
    27,498.69/41,255.33 = 9,971.10/x
  3. Step 3: Cross multiply
    27,498.69x = 41,255.33 × 9,971.10
  4. Step 4: Simplify right side
    27,498.69x = 411,360,971.11
  5. Step 5: Solve for x
    x = 411,360,971.11/27,498.69
  6. Step 6: Final answer
    x = 14,959.29

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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.