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Finding the Fourth Proportional to 13,029.08, 17,981.34 and 7,439

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Solution

The fourth proportional to 13,029.08, 17,981.34 and 7,439 is: 10,266.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,029.08 : 17,981.34 = 7,439 : x
  2. Step 2: Convert to fraction form
    13,029.08/17,981.34 = 7,439/x
  3. Step 3: Cross multiply
    13,029.08x = 17,981.34 × 7,439
  4. Step 4: Simplify right side
    13,029.08x = 133,763,188.26
  5. Step 5: Solve for x
    x = 133,763,188.26/13,029.08
  6. Step 6: Final answer
    x = 10,266.51

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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.