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Finding the Fourth Proportional to 15,315.36, 22,951.77 and 6,975

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Solution

The fourth proportional to 15,315.36, 22,951.77 and 6,975 is: 10,452.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,315.36 : 22,951.77 = 6,975 : x
  2. Step 2: Convert to fraction form
    15,315.36/22,951.77 = 6,975/x
  3. Step 3: Cross multiply
    15,315.36x = 22,951.77 × 6,975
  4. Step 4: Simplify right side
    15,315.36x = 160,088,595.75
  5. Step 5: Solve for x
    x = 160,088,595.75/15,315.36
  6. Step 6: Final answer
    x = 10,452.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.