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Finding the Fourth Proportional to 19,201.12, 28,794.14 and 5,870

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Solution

The fourth proportional to 19,201.12, 28,794.14 and 5,870 is: 8,802.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,201.12 : 28,794.14 = 5,870 : x
  2. Step 2: Convert to fraction form
    19,201.12/28,794.14 = 5,870/x
  3. Step 3: Cross multiply
    19,201.12x = 28,794.14 × 5,870
  4. Step 4: Simplify right side
    19,201.12x = 169,021,601.80
  5. Step 5: Solve for x
    x = 169,021,601.80/19,201.12
  6. Step 6: Final answer
    x = 8,802.69

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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.