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Finding the Fourth Proportional to 16,347.31, 22,559.07 and 9,633.22

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Solution

The fourth proportional to 16,347.31, 22,559.07 and 9,633.22 is: 13,293.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,347.31 : 22,559.07 = 9,633.22 : x
  2. Step 2: Convert to fraction form
    16,347.31/22,559.07 = 9,633.22/x
  3. Step 3: Cross multiply
    16,347.31x = 22,559.07 × 9,633.22
  4. Step 4: Simplify right side
    16,347.31x = 217,316,464.03
  5. Step 5: Solve for x
    x = 217,316,464.03/16,347.31
  6. Step 6: Final answer
    x = 13,293.72

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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.