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Finding the Fourth Proportional to 11,852.66, 17,686.96 and 10,278.02

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Solution

The fourth proportional to 11,852.66, 17,686.96 and 10,278.02 is: 15,337.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,852.66 : 17,686.96 = 10,278.02 : x
  2. Step 2: Convert to fraction form
    11,852.66/17,686.96 = 10,278.02/x
  3. Step 3: Cross multiply
    11,852.66x = 17,686.96 × 10,278.02
  4. Step 4: Simplify right side
    11,852.66x = 181,786,928.62
  5. Step 5: Solve for x
    x = 181,786,928.62/11,852.66
  6. Step 6: Final answer
    x = 15,337.23

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.