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Finding the Fourth Proportional to 17,632, 26,426.40 and 10,607.68

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Solution

The fourth proportional to 17,632, 26,426.40 and 10,607.68 is: 15,898.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,632 : 26,426.40 = 10,607.68 : x
  2. Step 2: Convert to fraction form
    17,632/26,426.40 = 10,607.68/x
  3. Step 3: Cross multiply
    17,632x = 26,426.40 × 10,607.68
  4. Step 4: Simplify right side
    17,632x = 280,322,794.75
  5. Step 5: Solve for x
    x = 280,322,794.75/17,632
  6. Step 6: Final answer
    x = 15,898.53

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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.