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Finding the Fourth Proportional to 13,135.39, 19,693.06 and 6,566.20

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Solution

The fourth proportional to 13,135.39, 19,693.06 and 6,566.20 is: 9,844.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,135.39 : 19,693.06 = 6,566.20 : x
  2. Step 2: Convert to fraction form
    13,135.39/19,693.06 = 6,566.20/x
  3. Step 3: Cross multiply
    13,135.39x = 19,693.06 × 6,566.20
  4. Step 4: Simplify right side
    13,135.39x = 129,308,504.92
  5. Step 5: Solve for x
    x = 129,308,504.92/13,135.39
  6. Step 6: Final answer
    x = 9,844.29

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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.