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Finding the Fourth Proportional to 21,263.98, 31,897.28 and 6,474

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Solution

The fourth proportional to 21,263.98, 31,897.28 and 6,474 is: 9,711.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,263.98 : 31,897.28 = 6,474 : x
  2. Step 2: Convert to fraction form
    21,263.98/31,897.28 = 6,474/x
  3. Step 3: Cross multiply
    21,263.98x = 31,897.28 × 6,474
  4. Step 4: Simplify right side
    21,263.98x = 206,502,990.72
  5. Step 5: Solve for x
    x = 206,502,990.72/21,263.98
  6. Step 6: Final answer
    x = 9,711.40

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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.