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Finding the Fourth Proportional to 16,210.96, 22,372.94 and 9,502.27

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Solution

The fourth proportional to 16,210.96, 22,372.94 and 9,502.27 is: 13,114.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,210.96 : 22,372.94 = 9,502.27 : x
  2. Step 2: Convert to fraction form
    16,210.96/22,372.94 = 9,502.27/x
  3. Step 3: Cross multiply
    16,210.96x = 22,372.94 × 9,502.27
  4. Step 4: Simplify right side
    16,210.96x = 212,593,648.76
  5. Step 5: Solve for x
    x = 212,593,648.76/16,210.96
  6. Step 6: Final answer
    x = 13,114.19

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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.