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Finding the Fourth Proportional to 15,709.34, 23,532.87 and 9,470.99

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Solution

The fourth proportional to 15,709.34, 23,532.87 and 9,470.99 is: 14,187.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,709.34 : 23,532.87 = 9,470.99 : x
  2. Step 2: Convert to fraction form
    15,709.34/23,532.87 = 9,470.99/x
  3. Step 3: Cross multiply
    15,709.34x = 23,532.87 × 9,470.99
  4. Step 4: Simplify right side
    15,709.34x = 222,879,576.44
  5. Step 5: Solve for x
    x = 222,879,576.44/15,709.34
  6. Step 6: Final answer
    x = 14,187.71

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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.