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Finding the Fourth Proportional to 13,254.84, 19,882.17 and 4,020.84

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Solution

The fourth proportional to 13,254.84, 19,882.17 and 4,020.84 is: 6,031.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,254.84 : 19,882.17 = 4,020.84 : x
  2. Step 2: Convert to fraction form
    13,254.84/19,882.17 = 4,020.84/x
  3. Step 3: Cross multiply
    13,254.84x = 19,882.17 × 4,020.84
  4. Step 4: Simplify right side
    13,254.84x = 79,943,024.42
  5. Step 5: Solve for x
    x = 79,943,024.42/13,254.84
  6. Step 6: Final answer
    x = 6,031.23

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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.