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Finding the Fourth Proportional to 15,468.85, 23,203.64 and 3,782.17

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Solution

The fourth proportional to 15,468.85, 23,203.64 and 3,782.17 is: 5,673.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,468.85 : 23,203.64 = 3,782.17 : x
  2. Step 2: Convert to fraction form
    15,468.85/23,203.64 = 3,782.17/x
  3. Step 3: Cross multiply
    15,468.85x = 23,203.64 × 3,782.17
  4. Step 4: Simplify right side
    15,468.85x = 87,760,111.10
  5. Step 5: Solve for x
    x = 87,760,111.10/15,468.85
  6. Step 6: Final answer
    x = 5,673.34

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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.