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Finding the Fourth Proportional to 22,339.98, 30,829.20 and 12,269.07

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Solution

The fourth proportional to 22,339.98, 30,829.20 and 12,269.07 is: 16,931.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,339.98 : 30,829.20 = 12,269.07 : x
  2. Step 2: Convert to fraction form
    22,339.98/30,829.20 = 12,269.07/x
  3. Step 3: Cross multiply
    22,339.98x = 30,829.20 × 12,269.07
  4. Step 4: Simplify right side
    22,339.98x = 378,245,612.84
  5. Step 5: Solve for x
    x = 378,245,612.84/22,339.98
  6. Step 6: Final answer
    x = 16,931.33

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1.5x scale

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.