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Finding the Fourth Proportional to 21,275.84, 31,866.24 and 15,419

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Solution

The fourth proportional to 21,275.84, 31,866.24 and 15,419 is: 23,094.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,275.84 : 31,866.24 = 15,419 : x
  2. Step 2: Convert to fraction form
    21,275.84/31,866.24 = 15,419/x
  3. Step 3: Cross multiply
    21,275.84x = 31,866.24 × 15,419
  4. Step 4: Simplify right side
    21,275.84x = 491,345,554.56
  5. Step 5: Solve for x
    x = 491,345,554.56/21,275.84
  6. Step 6: Final answer
    x = 23,094.06

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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.