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Finding the Fourth Proportional to 12,845.71, 17,727.01 and 7,466.23

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Solution

The fourth proportional to 12,845.71, 17,727.01 and 7,466.23 is: 10,303.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,845.71 : 17,727.01 = 7,466.23 : x
  2. Step 2: Convert to fraction form
    12,845.71/17,727.01 = 7,466.23/x
  3. Step 3: Cross multiply
    12,845.71x = 17,727.01 × 7,466.23
  4. Step 4: Simplify right side
    12,845.71x = 132,353,933.87
  5. Step 5: Solve for x
    x = 132,353,933.87/12,845.71
  6. Step 6: Final answer
    x = 10,303.36

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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.