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Finding the Fourth Proportional to 21,498.75, 32,251.82 and 6,707.16

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Solution

The fourth proportional to 21,498.75, 32,251.82 and 6,707.16 is: 10,061.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,498.75 : 32,251.82 = 6,707.16 : x
  2. Step 2: Convert to fraction form
    21,498.75/32,251.82 = 6,707.16/x
  3. Step 3: Cross multiply
    21,498.75x = 32,251.82 × 6,707.16
  4. Step 4: Simplify right side
    21,498.75x = 216,318,083.50
  5. Step 5: Solve for x
    x = 216,318,083.50/21,498.75
  6. Step 6: Final answer
    x = 10,061.89

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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.