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Finding the Fourth Proportional to 22,969.44, 34,456.05 and 9,821.93

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Solution

The fourth proportional to 22,969.44, 34,456.05 and 9,821.93 is: 14,733.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,969.44 : 34,456.05 = 9,821.93 : x
  2. Step 2: Convert to fraction form
    22,969.44/34,456.05 = 9,821.93/x
  3. Step 3: Cross multiply
    22,969.44x = 34,456.05 × 9,821.93
  4. Step 4: Simplify right side
    22,969.44x = 338,424,738.90
  5. Step 5: Solve for x
    x = 338,424,738.90/22,969.44
  6. Step 6: Final answer
    x = 14,733.70

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1.5x scale

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.