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Finding the Fourth Proportional to 12,988.14, 19,519.06 and 12,102.81

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Solution

The fourth proportional to 12,988.14, 19,519.06 and 12,102.81 is: 18,188.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,988.14 : 19,519.06 = 12,102.81 : x
  2. Step 2: Convert to fraction form
    12,988.14/19,519.06 = 12,102.81/x
  3. Step 3: Cross multiply
    12,988.14x = 19,519.06 × 12,102.81
  4. Step 4: Simplify right side
    12,988.14x = 236,235,474.56
  5. Step 5: Solve for x
    x = 236,235,474.56/12,988.14
  6. Step 6: Final answer
    x = 18,188.55

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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.