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Finding the Fourth Proportional to 22,403.64, 30,917.76 and 12,332.82

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Solution

The fourth proportional to 22,403.64, 30,917.76 and 12,332.82 is: 17,019.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,403.64 : 30,917.76 = 12,332.82 : x
  2. Step 2: Convert to fraction form
    22,403.64/30,917.76 = 12,332.82/x
  3. Step 3: Cross multiply
    22,403.64x = 30,917.76 × 12,332.82
  4. Step 4: Simplify right side
    22,403.64x = 381,303,168.88
  5. Step 5: Solve for x
    x = 381,303,168.88/22,403.64
  6. Step 6: Final answer
    x = 17,019.70

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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.