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Finding the Fourth Proportional to 21,020.74, 31,534.35 and 7,166.50

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Solution

The fourth proportional to 21,020.74, 31,534.35 and 7,166.50 is: 10,750.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,020.74 : 31,534.35 = 7,166.50 : x
  2. Step 2: Convert to fraction form
    21,020.74/31,534.35 = 7,166.50/x
  3. Step 3: Cross multiply
    21,020.74x = 31,534.35 × 7,166.50
  4. Step 4: Simplify right side
    21,020.74x = 225,990,919.28
  5. Step 5: Solve for x
    x = 225,990,919.28/21,020.74
  6. Step 6: Final answer
    x = 10,750.85

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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.