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Finding the Fourth Proportional to 16,470.10, 24,709.74 and 5,377.45

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Solution

The fourth proportional to 16,470.10, 24,709.74 and 5,377.45 is: 8,067.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,470.10 : 24,709.74 = 5,377.45 : x
  2. Step 2: Convert to fraction form
    16,470.10/24,709.74 = 5,377.45/x
  3. Step 3: Cross multiply
    16,470.10x = 24,709.74 × 5,377.45
  4. Step 4: Simplify right side
    16,470.10x = 132,875,391.36
  5. Step 5: Solve for x
    x = 132,875,391.36/16,470.10
  6. Step 6: Final answer
    x = 8,067.67

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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.