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Finding the Fourth Proportional to 15,814.72, 23,694 and 9,235.36

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Solution

The fourth proportional to 15,814.72, 23,694 and 9,235.36 is: 13,836.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,814.72 : 23,694 = 9,235.36 : x
  2. Step 2: Convert to fraction form
    15,814.72/23,694 = 9,235.36/x
  3. Step 3: Cross multiply
    15,814.72x = 23,694 × 9,235.36
  4. Step 4: Simplify right side
    15,814.72x = 218,822,619.84
  5. Step 5: Solve for x
    x = 218,822,619.84/15,814.72
  6. Step 6: Final answer
    x = 13,836.64

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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.