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Finding the Fourth Proportional to 13,244.94, 18,278.34 and 7,277

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Solution

The fourth proportional to 13,244.94, 18,278.34 and 7,277 is: 10,042.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,244.94 : 18,278.34 = 7,277 : x
  2. Step 2: Convert to fraction form
    13,244.94/18,278.34 = 7,277/x
  3. Step 3: Cross multiply
    13,244.94x = 18,278.34 × 7,277
  4. Step 4: Simplify right side
    13,244.94x = 133,011,480.18
  5. Step 5: Solve for x
    x = 133,011,480.18/13,244.94
  6. Step 6: Final answer
    x = 10,042.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.