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Finding the Fourth Proportional to 21,185.57, 31,765.89 and 8,038.86

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Solution

The fourth proportional to 21,185.57, 31,765.89 and 8,038.86 is: 12,053.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,185.57 : 31,765.89 = 8,038.86 : x
  2. Step 2: Convert to fraction form
    21,185.57/31,765.89 = 8,038.86/x
  3. Step 3: Cross multiply
    21,185.57x = 31,765.89 × 8,038.86
  4. Step 4: Simplify right side
    21,185.57x = 255,361,502.29
  5. Step 5: Solve for x
    x = 255,361,502.29/21,185.57
  6. Step 6: Final answer
    x = 12,053.56

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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.