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Finding the Fourth Proportional to 15,704.25, 23,567.18 and 6,470.25

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Solution

The fourth proportional to 15,704.25, 23,567.18 and 6,470.25 is: 9,709.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,704.25 : 23,567.18 = 6,470.25 : x
  2. Step 2: Convert to fraction form
    15,704.25/23,567.18 = 6,470.25/x
  3. Step 3: Cross multiply
    15,704.25x = 23,567.18 × 6,470.25
  4. Step 4: Simplify right side
    15,704.25x = 152,485,546.40
  5. Step 5: Solve for x
    x = 152,485,546.40/15,704.25
  6. Step 6: Final answer
    x = 9,709.83

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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.