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Finding the Fourth Proportional to 17,658, 26,482.95 and 5,174.89

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Solution

The fourth proportional to 17,658, 26,482.95 and 5,174.89 is: 7,761.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,658 : 26,482.95 = 5,174.89 : x
  2. Step 2: Convert to fraction form
    17,658/26,482.95 = 5,174.89/x
  3. Step 3: Cross multiply
    17,658x = 26,482.95 × 5,174.89
  4. Step 4: Simplify right side
    17,658x = 137,046,286.92
  5. Step 5: Solve for x
    x = 137,046,286.92/17,658
  6. Step 6: Final answer
    x = 7,761.14

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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.