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Finding the Fourth Proportional to 15,129.94, 22,646.39 and 8,092.36

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Solution

The fourth proportional to 15,129.94, 22,646.39 and 8,092.36 is: 12,112.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,129.94 : 22,646.39 = 8,092.36 : x
  2. Step 2: Convert to fraction form
    15,129.94/22,646.39 = 8,092.36/x
  3. Step 3: Cross multiply
    15,129.94x = 22,646.39 × 8,092.36
  4. Step 4: Simplify right side
    15,129.94x = 183,262,601.04
  5. Step 5: Solve for x
    x = 183,262,601.04/15,129.94
  6. Step 6: Final answer
    x = 12,112.58

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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.