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Finding the Fourth Proportional to 15,452.16, 23,178 and 3,765.36

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Solution

The fourth proportional to 15,452.16, 23,178 and 3,765.36 is: 5,647.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,452.16 : 23,178 = 3,765.36 : x
  2. Step 2: Convert to fraction form
    15,452.16/23,178 = 3,765.36/x
  3. Step 3: Cross multiply
    15,452.16x = 23,178 × 3,765.36
  4. Step 4: Simplify right side
    15,452.16x = 87,273,514.08
  5. Step 5: Solve for x
    x = 87,273,514.08/15,452.16
  6. Step 6: Final answer
    x = 5,647.98

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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.