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Finding the Fourth Proportional to 17,535.40, 26,306.78 and 5,055.40

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Solution

The fourth proportional to 17,535.40, 26,306.78 and 5,055.40 is: 7,584.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,535.40 : 26,306.78 = 5,055.40 : x
  2. Step 2: Convert to fraction form
    17,535.40/26,306.78 = 5,055.40/x
  3. Step 3: Cross multiply
    17,535.40x = 26,306.78 × 5,055.40
  4. Step 4: Simplify right side
    17,535.40x = 132,991,295.61
  5. Step 5: Solve for x
    x = 132,991,295.61/17,535.40
  6. Step 6: Final answer
    x = 7,584.16

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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.