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Finding the Fourth Proportional to 17,684.68, 24,407.22 and 11,415.32

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Solution

The fourth proportional to 17,684.68, 24,407.22 and 11,415.32 is: 15,754.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,684.68 : 24,407.22 = 11,415.32 : x
  2. Step 2: Convert to fraction form
    17,684.68/24,407.22 = 11,415.32/x
  3. Step 3: Cross multiply
    17,684.68x = 24,407.22 × 11,415.32
  4. Step 4: Simplify right side
    17,684.68x = 278,616,226.61
  5. Step 5: Solve for x
    x = 278,616,226.61/17,684.68
  6. Step 6: Final answer
    x = 15,754.67

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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.