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Finding the Fourth Proportional to 21,248.40, 31,871.36 and 8,102.10

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Solution

The fourth proportional to 21,248.40, 31,871.36 and 8,102.10 is: 12,152.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,248.40 : 31,871.36 = 8,102.10 : x
  2. Step 2: Convert to fraction form
    21,248.40/31,871.36 = 8,102.10/x
  3. Step 3: Cross multiply
    21,248.40x = 31,871.36 × 8,102.10
  4. Step 4: Simplify right side
    21,248.40x = 258,224,945.86
  5. Step 5: Solve for x
    x = 258,224,945.86/21,248.40
  6. Step 6: Final answer
    x = 12,152.68

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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.