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Finding the Fourth Proportional to 12,924.68, 17,835.06 and 7,257.62

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Solution

The fourth proportional to 12,924.68, 17,835.06 and 7,257.62 is: 10,014.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,924.68 : 17,835.06 = 7,257.62 : x
  2. Step 2: Convert to fraction form
    12,924.68/17,835.06 = 7,257.62/x
  3. Step 3: Cross multiply
    12,924.68x = 17,835.06 × 7,257.62
  4. Step 4: Simplify right side
    12,924.68x = 129,440,026.20
  5. Step 5: Solve for x
    x = 129,440,026.20/12,924.68
  6. Step 6: Final answer
    x = 10,014.95

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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.