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Finding the Fourth Proportional to 14,411.72, 21,615.80 and 3,882.58

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Solution

The fourth proportional to 14,411.72, 21,615.80 and 3,882.58 is: 5,823.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,411.72 : 21,615.80 = 3,882.58 : x
  2. Step 2: Convert to fraction form
    14,411.72/21,615.80 = 3,882.58/x
  3. Step 3: Cross multiply
    14,411.72x = 21,615.80 × 3,882.58
  4. Step 4: Simplify right side
    14,411.72x = 83,924,999.31
  5. Step 5: Solve for x
    x = 83,924,999.31/14,411.72
  6. Step 6: Final answer
    x = 5,823.38

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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.