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Finding the Fourth Proportional to 21,154.19, 31,731.56 and 8,003.03

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Solution

The fourth proportional to 21,154.19, 31,731.56 and 8,003.03 is: 12,004.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,154.19 : 31,731.56 = 8,003.03 : x
  2. Step 2: Convert to fraction form
    21,154.19/31,731.56 = 8,003.03/x
  3. Step 3: Cross multiply
    21,154.19x = 31,731.56 × 8,003.03
  4. Step 4: Simplify right side
    21,154.19x = 253,948,586.61
  5. Step 5: Solve for x
    x = 253,948,586.61/21,154.19
  6. Step 6: Final answer
    x = 12,004.65

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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.