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Finding the Fourth Proportional to 24,074.78, 36,106.70 and 11,588.42

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Solution

The fourth proportional to 24,074.78, 36,106.70 and 11,588.42 is: 17,380.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,074.78 : 36,106.70 = 11,588.42 : x
  2. Step 2: Convert to fraction form
    24,074.78/36,106.70 = 11,588.42/x
  3. Step 3: Cross multiply
    24,074.78x = 36,106.70 × 11,588.42
  4. Step 4: Simplify right side
    24,074.78x = 418,419,636.74
  5. Step 5: Solve for x
    x = 418,419,636.74/24,074.78
  6. Step 6: Final answer
    x = 17,380.00

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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.