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Finding the Fourth Proportional to 23,338.98, 32,207.49 and 12,728.39

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Solution

The fourth proportional to 23,338.98, 32,207.49 and 12,728.39 is: 17,565.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,338.98 : 32,207.49 = 12,728.39 : x
  2. Step 2: Convert to fraction form
    23,338.98/32,207.49 = 12,728.39/x
  3. Step 3: Cross multiply
    23,338.98x = 32,207.49 × 12,728.39
  4. Step 4: Simplify right side
    23,338.98x = 409,949,332.60
  5. Step 5: Solve for x
    x = 409,949,332.60/23,338.98
  6. Step 6: Final answer
    x = 17,565.01

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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.