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Finding the Fourth Proportional to 15,684.77, 23,524.43 and 5,154.86

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Solution

The fourth proportional to 15,684.77, 23,524.43 and 5,154.86 is: 7,731.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,684.77 : 23,524.43 = 5,154.86 : x
  2. Step 2: Convert to fraction form
    15,684.77/23,524.43 = 5,154.86/x
  3. Step 3: Cross multiply
    15,684.77x = 23,524.43 × 5,154.86
  4. Step 4: Simplify right side
    15,684.77x = 121,265,143.23
  5. Step 5: Solve for x
    x = 121,265,143.23/15,684.77
  6. Step 6: Final answer
    x = 7,731.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.