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Finding the Fourth Proportional to 16,193.82, 22,347.56 and 10,228.16

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Solution

The fourth proportional to 16,193.82, 22,347.56 and 10,228.16 is: 14,114.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,193.82 : 22,347.56 = 10,228.16 : x
  2. Step 2: Convert to fraction form
    16,193.82/22,347.56 = 10,228.16/x
  3. Step 3: Cross multiply
    16,193.82x = 22,347.56 × 10,228.16
  4. Step 4: Simplify right side
    16,193.82x = 228,574,419.29
  5. Step 5: Solve for x
    x = 228,574,419.29/16,193.82
  6. Step 6: Final answer
    x = 14,114.92

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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.