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Finding the Fourth Proportional to 16,475.52, 24,701.51 and 7,705.65

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Solution

The fourth proportional to 16,475.52, 24,701.51 and 7,705.65 is: 11,552.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,475.52 : 24,701.51 = 7,705.65 : x
  2. Step 2: Convert to fraction form
    16,475.52/24,701.51 = 7,705.65/x
  3. Step 3: Cross multiply
    16,475.52x = 24,701.51 × 7,705.65
  4. Step 4: Simplify right side
    16,475.52x = 190,341,209.80
  5. Step 5: Solve for x
    x = 190,341,209.80/16,475.52
  6. Step 6: Final answer
    x = 11,552.97

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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.