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Finding the Fourth Proportional to 12,948.80, 17,877.54 and 8,968.44

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Solution

The fourth proportional to 12,948.80, 17,877.54 and 8,968.44 is: 12,382.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,948.80 : 17,877.54 = 8,968.44 : x
  2. Step 2: Convert to fraction form
    12,948.80/17,877.54 = 8,968.44/x
  3. Step 3: Cross multiply
    12,948.80x = 17,877.54 × 8,968.44
  4. Step 4: Simplify right side
    12,948.80x = 160,333,644.84
  5. Step 5: Solve for x
    x = 160,333,644.84/12,948.80
  6. Step 6: Final answer
    x = 12,382.12

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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.