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Finding the Fourth Proportional to 17,715.40, 24,420.18 and 11,419.72

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Solution

The fourth proportional to 17,715.40, 24,420.18 and 11,419.72 is: 15,741.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,715.40 : 24,420.18 = 11,419.72 : x
  2. Step 2: Convert to fraction form
    17,715.40/24,420.18 = 11,419.72/x
  3. Step 3: Cross multiply
    17,715.40x = 24,420.18 × 11,419.72
  4. Step 4: Simplify right side
    17,715.40x = 278,871,617.95
  5. Step 5: Solve for x
    x = 278,871,617.95/17,715.40
  6. Step 6: Final answer
    x = 15,741.76

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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.