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Finding the Fourth Proportional to 23,315.19, 34,978.25 and 6,674.75

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Solution

The fourth proportional to 23,315.19, 34,978.25 and 6,674.75 is: 10,013.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,315.19 : 34,978.25 = 6,674.75 : x
  2. Step 2: Convert to fraction form
    23,315.19/34,978.25 = 6,674.75/x
  3. Step 3: Cross multiply
    23,315.19x = 34,978.25 × 6,674.75
  4. Step 4: Simplify right side
    23,315.19x = 233,471,074.19
  5. Step 5: Solve for x
    x = 233,471,074.19/23,315.19
  6. Step 6: Final answer
    x = 10,013.69

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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.