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Finding the Fourth Proportional to 16,728.70, 25,089 and 5,632.51

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Solution

The fourth proportional to 16,728.70, 25,089 and 5,632.51 is: 8,447.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,728.70 : 25,089 = 5,632.51 : x
  2. Step 2: Convert to fraction form
    16,728.70/25,089 = 5,632.51/x
  3. Step 3: Cross multiply
    16,728.70x = 25,089 × 5,632.51
  4. Step 4: Simplify right side
    16,728.70x = 141,314,043.39
  5. Step 5: Solve for x
    x = 141,314,043.39/16,728.70
  6. Step 6: Final answer
    x = 8,447.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.