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Finding the Fourth Proportional to 13,427.49, 18,529.92 and 7,459.71

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Solution

The fourth proportional to 13,427.49, 18,529.92 and 7,459.71 is: 10,294.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,427.49 : 18,529.92 = 7,459.71 : x
  2. Step 2: Convert to fraction form
    13,427.49/18,529.92 = 7,459.71/x
  3. Step 3: Cross multiply
    13,427.49x = 18,529.92 × 7,459.71
  4. Step 4: Simplify right side
    13,427.49x = 138,227,829.52
  5. Step 5: Solve for x
    x = 138,227,829.52/13,427.49
  6. Step 6: Final answer
    x = 10,294.39

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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.