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Finding the Fourth Proportional to 12,098.84, 18,151.62 and 6,908.36

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Solution

The fourth proportional to 12,098.84, 18,151.62 and 6,908.36 is: 10,364.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,098.84 : 18,151.62 = 6,908.36 : x
  2. Step 2: Convert to fraction form
    12,098.84/18,151.62 = 6,908.36/x
  3. Step 3: Cross multiply
    12,098.84x = 18,151.62 × 6,908.36
  4. Step 4: Simplify right side
    12,098.84x = 125,397,925.54
  5. Step 5: Solve for x
    x = 125,397,925.54/12,098.84
  6. Step 6: Final answer
    x = 10,364.46

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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.