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Finding the Fourth Proportional to 19,870.04, 29,805 and 5,078.96

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Solution

The fourth proportional to 19,870.04, 29,805 and 5,078.96 is: 7,618.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,870.04 : 29,805 = 5,078.96 : x
  2. Step 2: Convert to fraction form
    19,870.04/29,805 = 5,078.96/x
  3. Step 3: Cross multiply
    19,870.04x = 29,805 × 5,078.96
  4. Step 4: Simplify right side
    19,870.04x = 151,378,402.80
  5. Step 5: Solve for x
    x = 151,378,402.80/19,870.04
  6. Step 6: Final answer
    x = 7,618.42

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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.