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Finding the Fourth Proportional to 13,116.54, 19,680.61 and 6,875.06

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Solution

The fourth proportional to 13,116.54, 19,680.61 and 6,875.06 is: 10,315.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,116.54 : 19,680.61 = 6,875.06 : x
  2. Step 2: Convert to fraction form
    13,116.54/19,680.61 = 6,875.06/x
  3. Step 3: Cross multiply
    13,116.54x = 19,680.61 × 6,875.06
  4. Step 4: Simplify right side
    13,116.54x = 135,305,401.93
  5. Step 5: Solve for x
    x = 135,305,401.93/13,116.54
  6. Step 6: Final answer
    x = 10,315.63

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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.