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Finding the Fourth Proportional to 13,407.84, 18,502.38 and 8,101.74

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Solution

The fourth proportional to 13,407.84, 18,502.38 and 8,101.74 is: 11,180.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,407.84 : 18,502.38 = 8,101.74 : x
  2. Step 2: Convert to fraction form
    13,407.84/18,502.38 = 8,101.74/x
  3. Step 3: Cross multiply
    13,407.84x = 18,502.38 × 8,101.74
  4. Step 4: Simplify right side
    13,407.84x = 149,901,472.14
  5. Step 5: Solve for x
    x = 149,901,472.14/13,407.84
  6. Step 6: Final answer
    x = 11,180.14

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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.