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Finding the Fourth Proportional to 24,794.70, 37,189.89 and 14,400.78

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Solution

The fourth proportional to 24,794.70, 37,189.89 and 14,400.78 is: 21,599.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,794.70 : 37,189.89 = 14,400.78 : x
  2. Step 2: Convert to fraction form
    24,794.70/37,189.89 = 14,400.78/x
  3. Step 3: Cross multiply
    24,794.70x = 37,189.89 × 14,400.78
  4. Step 4: Simplify right side
    24,794.70x = 535,563,424.11
  5. Step 5: Solve for x
    x = 535,563,424.11/24,794.70
  6. Step 6: Final answer
    x = 21,599.92

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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.