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Finding the Fourth Proportional to 16,456.80, 24,693.30 and 12,506.70

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Solution

The fourth proportional to 16,456.80, 24,693.30 and 12,506.70 is: 18,766.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,456.80 : 24,693.30 = 12,506.70 : x
  2. Step 2: Convert to fraction form
    16,456.80/24,693.30 = 12,506.70/x
  3. Step 3: Cross multiply
    16,456.80x = 24,693.30 × 12,506.70
  4. Step 4: Simplify right side
    16,456.80x = 308,831,695.11
  5. Step 5: Solve for x
    x = 308,831,695.11/16,456.80
  6. Step 6: Final answer
    x = 18,766.21

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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.