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Finding the Fourth Proportional to 22,878.48, 34,317.72 and 6,462.48

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Solution

The fourth proportional to 22,878.48, 34,317.72 and 6,462.48 is: 9,693.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,878.48 : 34,317.72 = 6,462.48 : x
  2. Step 2: Convert to fraction form
    22,878.48/34,317.72 = 6,462.48/x
  3. Step 3: Cross multiply
    22,878.48x = 34,317.72 × 6,462.48
  4. Step 4: Simplify right side
    22,878.48x = 221,777,579.15
  5. Step 5: Solve for x
    x = 221,777,579.15/22,878.48
  6. Step 6: Final answer
    x = 9,693.72

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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.