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Finding the Fourth Proportional to 16,194.47, 22,353.96 and 9,482.25

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Solution

The fourth proportional to 16,194.47, 22,353.96 and 9,482.25 is: 13,088.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,194.47 : 22,353.96 = 9,482.25 : x
  2. Step 2: Convert to fraction form
    16,194.47/22,353.96 = 9,482.25/x
  3. Step 3: Cross multiply
    16,194.47x = 22,353.96 × 9,482.25
  4. Step 4: Simplify right side
    16,194.47x = 211,965,921.04
  5. Step 5: Solve for x
    x = 211,965,921.04/16,194.47
  6. Step 6: Final answer
    x = 13,088.79

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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.