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Finding the Fourth Proportional to 22,332, 30,818.16 and 12,260.64

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Solution

The fourth proportional to 22,332, 30,818.16 and 12,260.64 is: 16,919.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,332 : 30,818.16 = 12,260.64 : x
  2. Step 2: Convert to fraction form
    22,332/30,818.16 = 12,260.64/x
  3. Step 3: Cross multiply
    22,332x = 30,818.16 × 12,260.64
  4. Step 4: Simplify right side
    22,332x = 377,850,365.22
  5. Step 5: Solve for x
    x = 377,850,365.22/22,332
  6. Step 6: Final answer
    x = 16,919.68

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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.