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Finding the Fourth Proportional to 13,062.33, 19,582.69 and 6,493.09

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Solution

The fourth proportional to 13,062.33, 19,582.69 and 6,493.09 is: 9,734.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,062.33 : 19,582.69 = 6,493.09 : x
  2. Step 2: Convert to fraction form
    13,062.33/19,582.69 = 6,493.09/x
  3. Step 3: Cross multiply
    13,062.33x = 19,582.69 × 6,493.09
  4. Step 4: Simplify right side
    13,062.33x = 127,152,168.61
  5. Step 5: Solve for x
    x = 127,152,168.61/13,062.33
  6. Step 6: Final answer
    x = 9,734.26

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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.