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Finding the Fourth Proportional to 16,032.96, 22,128.40 and 10,069.92

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Solution

The fourth proportional to 16,032.96, 22,128.40 and 10,069.92 is: 13,898.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,032.96 : 22,128.40 = 10,069.92 : x
  2. Step 2: Convert to fraction form
    16,032.96/22,128.40 = 10,069.92/x
  3. Step 3: Cross multiply
    16,032.96x = 22,128.40 × 10,069.92
  4. Step 4: Simplify right side
    16,032.96x = 222,831,217.73
  5. Step 5: Solve for x
    x = 222,831,217.73/16,032.96
  6. Step 6: Final answer
    x = 13,898.32

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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.