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Finding the Fourth Proportional to 23,716, 32,728.40 and 13,105.88

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Solution

The fourth proportional to 23,716, 32,728.40 and 13,105.88 is: 18,086.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,716 : 32,728.40 = 13,105.88 : x
  2. Step 2: Convert to fraction form
    23,716/32,728.40 = 13,105.88/x
  3. Step 3: Cross multiply
    23,716x = 32,728.40 × 13,105.88
  4. Step 4: Simplify right side
    23,716x = 428,934,482.99
  5. Step 5: Solve for x
    x = 428,934,482.99/23,716
  6. Step 6: Final answer
    x = 18,086.29

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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.