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Finding the Fourth Proportional to 12,228.42, 16,870.08 and 8,242.62

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Solution

The fourth proportional to 12,228.42, 16,870.08 and 8,242.62 is: 11,371.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,228.42 : 16,870.08 = 8,242.62 : x
  2. Step 2: Convert to fraction form
    12,228.42/16,870.08 = 8,242.62/x
  3. Step 3: Cross multiply
    12,228.42x = 16,870.08 × 8,242.62
  4. Step 4: Simplify right side
    12,228.42x = 139,053,658.81
  5. Step 5: Solve for x
    x = 139,053,658.81/12,228.42
  6. Step 6: Final answer
    x = 11,371.35

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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.