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Finding the Fourth Proportional to 22,876.48, 34,314.72 and 6,460.48

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Solution

The fourth proportional to 22,876.48, 34,314.72 and 6,460.48 is: 9,690.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,876.48 : 34,314.72 = 6,460.48 : x
  2. Step 2: Convert to fraction form
    22,876.48/34,314.72 = 6,460.48/x
  3. Step 3: Cross multiply
    22,876.48x = 34,314.72 × 6,460.48
  4. Step 4: Simplify right side
    22,876.48x = 221,689,562.27
  5. Step 5: Solve for x
    x = 221,689,562.27/22,876.48
  6. Step 6: Final answer
    x = 9,690.72

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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.