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Finding the Fourth Proportional to 19,820.93, 29,673.07 and 13,230.77

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Solution

The fourth proportional to 19,820.93, 29,673.07 and 13,230.77 is: 19,807.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,820.93 : 29,673.07 = 13,230.77 : x
  2. Step 2: Convert to fraction form
    19,820.93/29,673.07 = 13,230.77/x
  3. Step 3: Cross multiply
    19,820.93x = 29,673.07 × 13,230.77
  4. Step 4: Simplify right side
    19,820.93x = 392,597,568.62
  5. Step 5: Solve for x
    x = 392,597,568.62/19,820.93
  6. Step 6: Final answer
    x = 19,807.22

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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.