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Finding the Fourth Proportional to 21,833.77, 30,142.07 and 14,701.19

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Solution

The fourth proportional to 21,833.77, 30,142.07 and 14,701.19 is: 20,295.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,833.77 : 30,142.07 = 14,701.19 : x
  2. Step 2: Convert to fraction form
    21,833.77/30,142.07 = 14,701.19/x
  3. Step 3: Cross multiply
    21,833.77x = 30,142.07 × 14,701.19
  4. Step 4: Simplify right side
    21,833.77x = 443,124,298.06
  5. Step 5: Solve for x
    x = 443,124,298.06/21,833.77
  6. Step 6: Final answer
    x = 20,295.36

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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.