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Finding the Fourth Proportional to 23,319.19, 34,978.42 and 5,789.17

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Solution

The fourth proportional to 23,319.19, 34,978.42 and 5,789.17 is: 8,683.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,319.19 : 34,978.42 = 5,789.17 : x
  2. Step 2: Convert to fraction form
    23,319.19/34,978.42 = 5,789.17/x
  3. Step 3: Cross multiply
    23,319.19x = 34,978.42 × 5,789.17
  4. Step 4: Simplify right side
    23,319.19x = 202,496,019.71
  5. Step 5: Solve for x
    x = 202,496,019.71/23,319.19
  6. Step 6: Final answer
    x = 8,683.66

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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.