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Finding the Fourth Proportional to 13,072.30, 19,616.85 and 7,233.10

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Solution

The fourth proportional to 13,072.30, 19,616.85 and 7,233.10 is: 10,854.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,072.30 : 19,616.85 = 7,233.10 : x
  2. Step 2: Convert to fraction form
    13,072.30/19,616.85 = 7,233.10/x
  3. Step 3: Cross multiply
    13,072.30x = 19,616.85 × 7,233.10
  4. Step 4: Simplify right side
    13,072.30x = 141,890,637.74
  5. Step 5: Solve for x
    x = 141,890,637.74/13,072.30
  6. Step 6: Final answer
    x = 10,854.30

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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.