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Finding the Fourth Proportional to 13,988.72, 19,304.08 and 8,023.92

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Solution

The fourth proportional to 13,988.72, 19,304.08 and 8,023.92 is: 11,072.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,988.72 : 19,304.08 = 8,023.92 : x
  2. Step 2: Convert to fraction form
    13,988.72/19,304.08 = 8,023.92/x
  3. Step 3: Cross multiply
    13,988.72x = 19,304.08 × 8,023.92
  4. Step 4: Simplify right side
    13,988.72x = 154,894,393.59
  5. Step 5: Solve for x
    x = 154,894,393.59/13,988.72
  6. Step 6: Final answer
    x = 11,072.81

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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.