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Finding the Fourth Proportional to 21,248.88, 31,860.96 and 8,102.16

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Solution

The fourth proportional to 21,248.88, 31,860.96 and 8,102.16 is: 12,148.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,248.88 : 31,860.96 = 8,102.16 : x
  2. Step 2: Convert to fraction form
    21,248.88/31,860.96 = 8,102.16/x
  3. Step 3: Cross multiply
    21,248.88x = 31,860.96 × 8,102.16
  4. Step 4: Simplify right side
    21,248.88x = 258,142,595.67
  5. Step 5: Solve for x
    x = 258,142,595.67/21,248.88
  6. Step 6: Final answer
    x = 12,148.53

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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.