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Finding the Fourth Proportional to 16,189.62, 22,341.63 and 9,116.16

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Solution

The fourth proportional to 16,189.62, 22,341.63 and 9,116.16 is: 12,580.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,189.62 : 22,341.63 = 9,116.16 : x
  2. Step 2: Convert to fraction form
    16,189.62/22,341.63 = 9,116.16/x
  3. Step 3: Cross multiply
    16,189.62x = 22,341.63 × 9,116.16
  4. Step 4: Simplify right side
    16,189.62x = 203,669,873.74
  5. Step 5: Solve for x
    x = 203,669,873.74/16,189.62
  6. Step 6: Final answer
    x = 12,580.28

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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.