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Finding the Fourth Proportional to 12,835.92, 19,261 and 6,262.16

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Solution

The fourth proportional to 12,835.92, 19,261 and 6,262.16 is: 9,396.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,835.92 : 19,261 = 6,262.16 : x
  2. Step 2: Convert to fraction form
    12,835.92/19,261 = 6,262.16/x
  3. Step 3: Cross multiply
    12,835.92x = 19,261 × 6,262.16
  4. Step 4: Simplify right side
    12,835.92x = 120,615,463.76
  5. Step 5: Solve for x
    x = 120,615,463.76/12,835.92
  6. Step 6: Final answer
    x = 9,396.71

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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.