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Finding the Fourth Proportional to 12,038.38, 16,615.26 and 8,066.41

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Solution

The fourth proportional to 12,038.38, 16,615.26 and 8,066.41 is: 11,133.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,038.38 : 16,615.26 = 8,066.41 : x
  2. Step 2: Convert to fraction form
    12,038.38/16,615.26 = 8,066.41/x
  3. Step 3: Cross multiply
    12,038.38x = 16,615.26 × 8,066.41
  4. Step 4: Simplify right side
    12,038.38x = 134,025,499.42
  5. Step 5: Solve for x
    x = 134,025,499.42/12,038.38
  6. Step 6: Final answer
    x = 11,133.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.