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Finding the Fourth Proportional to 13,538.49, 18,665.99 and 8,750.39

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Solution

The fourth proportional to 13,538.49, 18,665.99 and 8,750.39 is: 12,064.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,538.49 : 18,665.99 = 8,750.39 : x
  2. Step 2: Convert to fraction form
    13,538.49/18,665.99 = 8,750.39/x
  3. Step 3: Cross multiply
    13,538.49x = 18,665.99 × 8,750.39
  4. Step 4: Simplify right side
    13,538.49x = 163,334,555.15
  5. Step 5: Solve for x
    x = 163,334,555.15/13,538.49
  6. Step 6: Final answer
    x = 12,064.46

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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.