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Finding the Fourth Proportional to 10,193.24, 14,067.24 and 7,670.81

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Solution

The fourth proportional to 10,193.24, 14,067.24 and 7,670.81 is: 10,586.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,193.24 : 14,067.24 = 7,670.81 : x
  2. Step 2: Convert to fraction form
    10,193.24/14,067.24 = 7,670.81/x
  3. Step 3: Cross multiply
    10,193.24x = 14,067.24 × 7,670.81
  4. Step 4: Simplify right side
    10,193.24x = 107,907,125.26
  5. Step 5: Solve for x
    x = 107,907,125.26/10,193.24
  6. Step 6: Final answer
    x = 10,586.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.