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Finding the Fourth Proportional to 14,982, 22,476.60 and 5,748

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Solution

The fourth proportional to 14,982, 22,476.60 and 5,748 is: 8,623.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,982 : 22,476.60 = 5,748 : x
  2. Step 2: Convert to fraction form
    14,982/22,476.60 = 5,748/x
  3. Step 3: Cross multiply
    14,982x = 22,476.60 × 5,748
  4. Step 4: Simplify right side
    14,982x = 129,195,496.80
  5. Step 5: Solve for x
    x = 129,195,496.80/14,982
  6. Step 6: Final answer
    x = 8,623.38

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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.