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Finding the Fourth Proportional to 13,836.87, 19,094.94 and 7,549.38

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Solution

The fourth proportional to 13,836.87, 19,094.94 and 7,549.38 is: 10,418.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,836.87 : 19,094.94 = 7,549.38 : x
  2. Step 2: Convert to fraction form
    13,836.87/19,094.94 = 7,549.38/x
  3. Step 3: Cross multiply
    13,836.87x = 19,094.94 × 7,549.38
  4. Step 4: Simplify right side
    13,836.87x = 144,154,958.14
  5. Step 5: Solve for x
    x = 144,154,958.14/13,836.87
  6. Step 6: Final answer
    x = 10,418.18

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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.