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Finding the Fourth Proportional to 13,811.64, 19,060.26 and 7,524

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Solution

The fourth proportional to 13,811.64, 19,060.26 and 7,524 is: 10,383.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,811.64 : 19,060.26 = 7,524 : x
  2. Step 2: Convert to fraction form
    13,811.64/19,060.26 = 7,524/x
  3. Step 3: Cross multiply
    13,811.64x = 19,060.26 × 7,524
  4. Step 4: Simplify right side
    13,811.64x = 143,409,396.24
  5. Step 5: Solve for x
    x = 143,409,396.24/13,811.64
  6. Step 6: Final answer
    x = 10,383.23

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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.