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Finding the Fourth Proportional to 12,117.45, 16,726.74 and 8,082.81

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Solution

The fourth proportional to 12,117.45, 16,726.74 and 8,082.81 is: 11,157.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,117.45 : 16,726.74 = 8,082.81 : x
  2. Step 2: Convert to fraction form
    12,117.45/16,726.74 = 8,082.81/x
  3. Step 3: Cross multiply
    12,117.45x = 16,726.74 × 8,082.81
  4. Step 4: Simplify right side
    12,117.45x = 135,199,061.34
  5. Step 5: Solve for x
    x = 135,199,061.34/12,117.45
  6. Step 6: Final answer
    x = 11,157.39

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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.