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Finding the Fourth Proportional to 14,982, 22,472.92 and 3,888.68

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Solution

The fourth proportional to 14,982, 22,472.92 and 3,888.68 is: 5,833.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,982 : 22,472.92 = 3,888.68 : x
  2. Step 2: Convert to fraction form
    14,982/22,472.92 = 3,888.68/x
  3. Step 3: Cross multiply
    14,982x = 22,472.92 × 3,888.68
  4. Step 4: Simplify right side
    14,982x = 87,389,994.55
  5. Step 5: Solve for x
    x = 87,389,994.55/14,982
  6. Step 6: Final answer
    x = 5,833.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.