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Finding the Fourth Proportional to 24,892.70, 37,295.85 and 16,123.10

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Solution

The fourth proportional to 24,892.70, 37,295.85 and 16,123.10 is: 24,156.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,892.70 : 37,295.85 = 16,123.10 : x
  2. Step 2: Convert to fraction form
    24,892.70/37,295.85 = 16,123.10/x
  3. Step 3: Cross multiply
    24,892.70x = 37,295.85 × 16,123.10
  4. Step 4: Simplify right side
    24,892.70x = 601,324,719.14
  5. Step 5: Solve for x
    x = 601,324,719.14/24,892.70
  6. Step 6: Final answer
    x = 24,156.67

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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.