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Finding the Fourth Proportional to 16,189.84, 22,342.41 and 9,116.51

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Solution

The fourth proportional to 16,189.84, 22,342.41 and 9,116.51 is: 12,581.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,189.84 : 22,342.41 = 9,116.51 : x
  2. Step 2: Convert to fraction form
    16,189.84/22,342.41 = 9,116.51/x
  3. Step 3: Cross multiply
    16,189.84x = 22,342.41 × 9,116.51
  4. Step 4: Simplify right side
    16,189.84x = 203,684,804.19
  5. Step 5: Solve for x
    x = 203,684,804.19/16,189.84
  6. Step 6: Final answer
    x = 12,581.03

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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.