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Finding the Fourth Proportional to 16,109.51, 22,231.86 and 9,394.07

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Solution

The fourth proportional to 16,109.51, 22,231.86 and 9,394.07 is: 12,964.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,109.51 : 22,231.86 = 9,394.07 : x
  2. Step 2: Convert to fraction form
    16,109.51/22,231.86 = 9,394.07/x
  3. Step 3: Cross multiply
    16,109.51x = 22,231.86 × 9,394.07
  4. Step 4: Simplify right side
    16,109.51x = 208,847,649.07
  5. Step 5: Solve for x
    x = 208,847,649.07/16,109.51
  6. Step 6: Final answer
    x = 12,964.25

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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.