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Finding the Fourth Proportional to 26,561.57, 39,842.74 and 7,841.91

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Solution

The fourth proportional to 26,561.57, 39,842.74 and 7,841.91 is: 11,762.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,561.57 : 39,842.74 = 7,841.91 : x
  2. Step 2: Convert to fraction form
    26,561.57/39,842.74 = 7,841.91/x
  3. Step 3: Cross multiply
    26,561.57x = 39,842.74 × 7,841.91
  4. Step 4: Simplify right side
    26,561.57x = 312,443,296.34
  5. Step 5: Solve for x
    x = 312,443,296.34/26,561.57
  6. Step 6: Final answer
    x = 11,762.98

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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.