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Finding the Fourth Proportional to 12,117.34, 16,721.83 and 6,812.18

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Solution

The fourth proportional to 12,117.34, 16,721.83 and 6,812.18 is: 9,400.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,117.34 : 16,721.83 = 6,812.18 : x
  2. Step 2: Convert to fraction form
    12,117.34/16,721.83 = 6,812.18/x
  3. Step 3: Cross multiply
    12,117.34x = 16,721.83 × 6,812.18
  4. Step 4: Simplify right side
    12,117.34x = 113,912,115.89
  5. Step 5: Solve for x
    x = 113,912,115.89/12,117.34
  6. Step 6: Final answer
    x = 9,400.75

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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.