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Finding the Fourth Proportional to 18,277.14, 25,244.95 and 13,233.38

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Solution

The fourth proportional to 18,277.14, 25,244.95 and 13,233.38 is: 18,278.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,277.14 : 25,244.95 = 13,233.38 : x
  2. Step 2: Convert to fraction form
    18,277.14/25,244.95 = 13,233.38/x
  3. Step 3: Cross multiply
    18,277.14x = 25,244.95 × 13,233.38
  4. Step 4: Simplify right side
    18,277.14x = 334,075,857.12
  5. Step 5: Solve for x
    x = 334,075,857.12/18,277.14
  6. Step 6: Final answer
    x = 18,278.34

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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.