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Finding the Fourth Proportional to 15,176.15, 22,771.44 and 6,858.71

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Solution

The fourth proportional to 15,176.15, 22,771.44 and 6,858.71 is: 10,291.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,176.15 : 22,771.44 = 6,858.71 : x
  2. Step 2: Convert to fraction form
    15,176.15/22,771.44 = 6,858.71/x
  3. Step 3: Cross multiply
    15,176.15x = 22,771.44 × 6,858.71
  4. Step 4: Simplify right side
    15,176.15x = 156,182,703.24
  5. Step 5: Solve for x
    x = 156,182,703.24/15,176.15
  6. Step 6: Final answer
    x = 10,291.33

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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.