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Finding the Fourth Proportional to 16,189.32, 22,343.94 and 9,116.40

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Solution

The fourth proportional to 16,189.32, 22,343.94 and 9,116.40 is: 12,582.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,189.32 : 22,343.94 = 9,116.40 : x
  2. Step 2: Convert to fraction form
    16,189.32/22,343.94 = 9,116.40/x
  3. Step 3: Cross multiply
    16,189.32x = 22,343.94 × 9,116.40
  4. Step 4: Simplify right side
    16,189.32x = 203,696,294.62
  5. Step 5: Solve for x
    x = 203,696,294.62/16,189.32
  6. Step 6: Final answer
    x = 12,582.14

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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.