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Finding the Fourth Proportional to 12,894.80, 19,342.20 and 5,965.52

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Solution

The fourth proportional to 12,894.80, 19,342.20 and 5,965.52 is: 8,948.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,894.80 : 19,342.20 = 5,965.52 : x
  2. Step 2: Convert to fraction form
    12,894.80/19,342.20 = 5,965.52/x
  3. Step 3: Cross multiply
    12,894.80x = 19,342.20 × 5,965.52
  4. Step 4: Simplify right side
    12,894.80x = 115,386,280.94
  5. Step 5: Solve for x
    x = 115,386,280.94/12,894.80
  6. Step 6: Final answer
    x = 8,948.28

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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.