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Finding the Fourth Proportional to 13,212.16, 18,216 and 9,439.84

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Solution

The fourth proportional to 13,212.16, 18,216 and 9,439.84 is: 13,014.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,212.16 : 18,216 = 9,439.84 : x
  2. Step 2: Convert to fraction form
    13,212.16/18,216 = 9,439.84/x
  3. Step 3: Cross multiply
    13,212.16x = 18,216 × 9,439.84
  4. Step 4: Simplify right side
    13,212.16x = 171,956,125.44
  5. Step 5: Solve for x
    x = 171,956,125.44/13,212.16
  6. Step 6: Final answer
    x = 13,014.99

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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.