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Finding the Fourth Proportional to 24,540.95, 36,814.90 and 7,897.11

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Solution

The fourth proportional to 24,540.95, 36,814.90 and 7,897.11 is: 11,846.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,540.95 : 36,814.90 = 7,897.11 : x
  2. Step 2: Convert to fraction form
    24,540.95/36,814.90 = 7,897.11/x
  3. Step 3: Cross multiply
    24,540.95x = 36,814.90 × 7,897.11
  4. Step 4: Simplify right side
    24,540.95x = 290,731,314.94
  5. Step 5: Solve for x
    x = 290,731,314.94/24,540.95
  6. Step 6: Final answer
    x = 11,846.79

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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.