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Finding the Fourth Proportional to 20,029.68, 30,005.52 and 13,083.12

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Solution

The fourth proportional to 20,029.68, 30,005.52 and 13,083.12 is: 19,599.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,029.68 : 30,005.52 = 13,083.12 : x
  2. Step 2: Convert to fraction form
    20,029.68/30,005.52 = 13,083.12/x
  3. Step 3: Cross multiply
    20,029.68x = 30,005.52 × 13,083.12
  4. Step 4: Simplify right side
    20,029.68x = 392,565,818.82
  5. Step 5: Solve for x
    x = 392,565,818.82/20,029.68
  6. Step 6: Final answer
    x = 19,599.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.