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Finding the Fourth Proportional to 16,305.96, 22,502.16 and 9,591.51

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Solution

The fourth proportional to 16,305.96, 22,502.16 and 9,591.51 is: 13,236.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,305.96 : 22,502.16 = 9,591.51 : x
  2. Step 2: Convert to fraction form
    16,305.96/22,502.16 = 9,591.51/x
  3. Step 3: Cross multiply
    16,305.96x = 22,502.16 × 9,591.51
  4. Step 4: Simplify right side
    16,305.96x = 215,829,692.66
  5. Step 5: Solve for x
    x = 215,829,692.66/16,305.96
  6. Step 6: Final answer
    x = 13,236.25

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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.