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Finding the Fourth Proportional to 16,713, 25,041.70 and 11,772.20

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Solution

The fourth proportional to 16,713, 25,041.70 and 11,772.20 is: 17,638.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,713 : 25,041.70 = 11,772.20 : x
  2. Step 2: Convert to fraction form
    16,713/25,041.70 = 11,772.20/x
  3. Step 3: Cross multiply
    16,713x = 25,041.70 × 11,772.20
  4. Step 4: Simplify right side
    16,713x = 294,795,900.74
  5. Step 5: Solve for x
    x = 294,795,900.74/16,713
  6. Step 6: Final answer
    x = 17,638.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.