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Finding the Fourth Proportional to 14,466, 19,963.20 and 7,842

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Solution

The fourth proportional to 14,466, 19,963.20 and 7,842 is: 10,822.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,466 : 19,963.20 = 7,842 : x
  2. Step 2: Convert to fraction form
    14,466/19,963.20 = 7,842/x
  3. Step 3: Cross multiply
    14,466x = 19,963.20 × 7,842
  4. Step 4: Simplify right side
    14,466x = 156,551,414.40
  5. Step 5: Solve for x
    x = 156,551,414.40/14,466
  6. Step 6: Final answer
    x = 10,822.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.