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Finding the Fourth Proportional to 15,684.15, 23,520.09 and 5,686.52

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Solution

The fourth proportional to 15,684.15, 23,520.09 and 5,686.52 is: 8,527.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,684.15 : 23,520.09 = 5,686.52 : x
  2. Step 2: Convert to fraction form
    15,684.15/23,520.09 = 5,686.52/x
  3. Step 3: Cross multiply
    15,684.15x = 23,520.09 × 5,686.52
  4. Step 4: Simplify right side
    15,684.15x = 133,747,498.21
  5. Step 5: Solve for x
    x = 133,747,498.21/15,684.15
  6. Step 6: Final answer
    x = 8,527.56

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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.