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Finding the Fourth Proportional to 12,225.41, 16,870.96 and 6,920.18

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Solution

The fourth proportional to 12,225.41, 16,870.96 and 6,920.18 is: 9,549.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,225.41 : 16,870.96 = 6,920.18 : x
  2. Step 2: Convert to fraction form
    12,225.41/16,870.96 = 6,920.18/x
  3. Step 3: Cross multiply
    12,225.41x = 16,870.96 × 6,920.18
  4. Step 4: Simplify right side
    12,225.41x = 116,750,079.97
  5. Step 5: Solve for x
    x = 116,750,079.97/12,225.41
  6. Step 6: Final answer
    x = 9,549.79

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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.