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Finding the Fourth Proportional to 12,071.19, 16,640.79 and 8,475.20

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Solution

The fourth proportional to 12,071.19, 16,640.79 and 8,475.20 is: 11,683.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,071.19 : 16,640.79 = 8,475.20 : x
  2. Step 2: Convert to fraction form
    12,071.19/16,640.79 = 8,475.20/x
  3. Step 3: Cross multiply
    12,071.19x = 16,640.79 × 8,475.20
  4. Step 4: Simplify right side
    12,071.19x = 141,034,023.41
  5. Step 5: Solve for x
    x = 141,034,023.41/12,071.19
  6. Step 6: Final answer
    x = 11,683.52

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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.