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Finding the Fourth Proportional to 11,763.32, 17,729.52 and 10,139.46

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Solution

The fourth proportional to 11,763.32, 17,729.52 and 10,139.46 is: 15,282.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,763.32 : 17,729.52 = 10,139.46 : x
  2. Step 2: Convert to fraction form
    11,763.32/17,729.52 = 10,139.46/x
  3. Step 3: Cross multiply
    11,763.32x = 17,729.52 × 10,139.46
  4. Step 4: Simplify right side
    11,763.32x = 179,767,758.86
  5. Step 5: Solve for x
    x = 179,767,758.86/11,763.32
  6. Step 6: Final answer
    x = 15,282.07

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.