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Finding the Fourth Proportional to 13,123.66, 18,110.71 and 8,410.68

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Solution

The fourth proportional to 13,123.66, 18,110.71 and 8,410.68 is: 11,606.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,123.66 : 18,110.71 = 8,410.68 : x
  2. Step 2: Convert to fraction form
    13,123.66/18,110.71 = 8,410.68/x
  3. Step 3: Cross multiply
    13,123.66x = 18,110.71 × 8,410.68
  4. Step 4: Simplify right side
    13,123.66x = 152,323,386.38
  5. Step 5: Solve for x
    x = 152,323,386.38/13,123.66
  6. Step 6: Final answer
    x = 11,606.78

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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.