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Finding the Fourth Proportional to 26,658, 39,987.24 and 9,127.98

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Solution

The fourth proportional to 26,658, 39,987.24 and 9,127.98 is: 13,692.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,658 : 39,987.24 = 9,127.98 : x
  2. Step 2: Convert to fraction form
    26,658/39,987.24 = 9,127.98/x
  3. Step 3: Cross multiply
    26,658x = 39,987.24 × 9,127.98
  4. Step 4: Simplify right side
    26,658x = 365,002,726.98
  5. Step 5: Solve for x
    x = 365,002,726.98/26,658
  6. Step 6: Final answer
    x = 13,692.05

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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.