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Finding the Fourth Proportional to 15,706.20, 23,559.30 and 5,176.20

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Solution

The fourth proportional to 15,706.20, 23,559.30 and 5,176.20 is: 7,764.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,706.20 : 23,559.30 = 5,176.20 : x
  2. Step 2: Convert to fraction form
    15,706.20/23,559.30 = 5,176.20/x
  3. Step 3: Cross multiply
    15,706.20x = 23,559.30 × 5,176.20
  4. Step 4: Simplify right side
    15,706.20x = 121,947,648.66
  5. Step 5: Solve for x
    x = 121,947,648.66/15,706.20
  6. Step 6: Final answer
    x = 7,764.30

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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.