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Finding the Fourth Proportional to 12,228.81, 16,875.83 and 7,193.25

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Solution

The fourth proportional to 12,228.81, 16,875.83 and 7,193.25 is: 9,926.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,228.81 : 16,875.83 = 7,193.25 : x
  2. Step 2: Convert to fraction form
    12,228.81/16,875.83 = 7,193.25/x
  3. Step 3: Cross multiply
    12,228.81x = 16,875.83 × 7,193.25
  4. Step 4: Simplify right side
    12,228.81x = 121,392,064.15
  5. Step 5: Solve for x
    x = 121,392,064.15/12,228.81
  6. Step 6: Final answer
    x = 9,926.73

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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.