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Finding the Fourth Proportional to 12,228.40, 16,870.86 and 6,922.06

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Solution

The fourth proportional to 12,228.40, 16,870.86 and 6,922.06 is: 9,549.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,228.40 : 16,870.86 = 6,922.06 : x
  2. Step 2: Convert to fraction form
    12,228.40/16,870.86 = 6,922.06/x
  3. Step 3: Cross multiply
    12,228.40x = 16,870.86 × 6,922.06
  4. Step 4: Simplify right side
    12,228.40x = 116,781,105.17
  5. Step 5: Solve for x
    x = 116,781,105.17/12,228.40
  6. Step 6: Final answer
    x = 9,549.99

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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.