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Finding the Fourth Proportional to 12,092.04, 16,678.62 and 9,853.92

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Solution

The fourth proportional to 12,092.04, 16,678.62 and 9,853.92 is: 13,591.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,092.04 : 16,678.62 = 9,853.92 : x
  2. Step 2: Convert to fraction form
    12,092.04/16,678.62 = 9,853.92/x
  3. Step 3: Cross multiply
    12,092.04x = 16,678.62 × 9,853.92
  4. Step 4: Simplify right side
    12,092.04x = 164,349,787.19
  5. Step 5: Solve for x
    x = 164,349,787.19/12,092.04
  6. Step 6: Final answer
    x = 13,591.57

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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.