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Finding the Fourth Proportional to 16,188.95, 22,338.76 and 9,382.93

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Solution

The fourth proportional to 16,188.95, 22,338.76 and 9,382.93 is: 12,947.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,188.95 : 22,338.76 = 9,382.93 : x
  2. Step 2: Convert to fraction form
    16,188.95/22,338.76 = 9,382.93/x
  3. Step 3: Cross multiply
    16,188.95x = 22,338.76 × 9,382.93
  4. Step 4: Simplify right side
    16,188.95x = 209,603,021.37
  5. Step 5: Solve for x
    x = 209,603,021.37/16,188.95
  6. Step 6: Final answer
    x = 12,947.29

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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.