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Finding the Fourth Proportional to 21,833.28, 30,129.96 and 12,401.82

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Solution

The fourth proportional to 21,833.28, 30,129.96 and 12,401.82 is: 17,114.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,833.28 : 30,129.96 = 12,401.82 : x
  2. Step 2: Convert to fraction form
    21,833.28/30,129.96 = 12,401.82/x
  3. Step 3: Cross multiply
    21,833.28x = 30,129.96 × 12,401.82
  4. Step 4: Simplify right side
    21,833.28x = 373,666,340.53
  5. Step 5: Solve for x
    x = 373,666,340.53/21,833.28
  6. Step 6: Final answer
    x = 17,114.53

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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.