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Finding the Fourth Proportional to 15,704.10, 23,558.24 and 5,709.64

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Solution

The fourth proportional to 15,704.10, 23,558.24 and 5,709.64 is: 8,565.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,704.10 : 23,558.24 = 5,709.64 : x
  2. Step 2: Convert to fraction form
    15,704.10/23,558.24 = 5,709.64/x
  3. Step 3: Cross multiply
    15,704.10x = 23,558.24 × 5,709.64
  4. Step 4: Simplify right side
    15,704.10x = 134,509,069.43
  5. Step 5: Solve for x
    x = 134,509,069.43/15,704.10
  6. Step 6: Final answer
    x = 8,565.22

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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.