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Finding the Fourth Proportional to 19,793, 27,314.38 and 10,718.46

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Solution

The fourth proportional to 19,793, 27,314.38 and 10,718.46 is: 14,791.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,793 : 27,314.38 = 10,718.46 : x
  2. Step 2: Convert to fraction form
    19,793/27,314.38 = 10,718.46/x
  3. Step 3: Cross multiply
    19,793x = 27,314.38 × 10,718.46
  4. Step 4: Simplify right side
    19,793x = 292,768,089.45
  5. Step 5: Solve for x
    x = 292,768,089.45/19,793
  6. Step 6: Final answer
    x = 14,791.50

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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.