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Finding the Fourth Proportional to 21,177.29, 31,772.88 and 8,703.20

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Solution

The fourth proportional to 21,177.29, 31,772.88 and 8,703.20 is: 13,057.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,177.29 : 31,772.88 = 8,703.20 : x
  2. Step 2: Convert to fraction form
    21,177.29/31,772.88 = 8,703.20/x
  3. Step 3: Cross multiply
    21,177.29x = 31,772.88 × 8,703.20
  4. Step 4: Simplify right side
    21,177.29x = 276,525,808.65
  5. Step 5: Solve for x
    x = 276,525,808.65/21,177.29
  6. Step 6: Final answer
    x = 13,057.66

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