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Finding the Fourth Proportional to 11,742.08, 17,524.90 and 10,153.77

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Solution

The fourth proportional to 11,742.08, 17,524.90 and 10,153.77 is: 15,154.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,742.08 : 17,524.90 = 10,153.77 : x
  2. Step 2: Convert to fraction form
    11,742.08/17,524.90 = 10,153.77/x
  3. Step 3: Cross multiply
    11,742.08x = 17,524.90 × 10,153.77
  4. Step 4: Simplify right side
    11,742.08x = 177,943,803.87
  5. Step 5: Solve for x
    x = 177,943,803.87/11,742.08
  6. Step 6: Final answer
    x = 15,154.37

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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.