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Finding the Fourth Proportional to 21,452.92, 29,605.46 and 12,848

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Solution

The fourth proportional to 21,452.92, 29,605.46 and 12,848 is: 17,730.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,452.92 : 29,605.46 = 12,848 : x
  2. Step 2: Convert to fraction form
    21,452.92/29,605.46 = 12,848/x
  3. Step 3: Cross multiply
    21,452.92x = 29,605.46 × 12,848
  4. Step 4: Simplify right side
    21,452.92x = 380,370,950.08
  5. Step 5: Solve for x
    x = 380,370,950.08/21,452.92
  6. Step 6: Final answer
    x = 17,730.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.