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Finding the Fourth Proportional to 15,858.86, 23,772.09 and 10,323.32

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Solution

The fourth proportional to 15,858.86, 23,772.09 and 10,323.32 is: 15,474.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,858.86 : 23,772.09 = 10,323.32 : x
  2. Step 2: Convert to fraction form
    15,858.86/23,772.09 = 10,323.32/x
  3. Step 3: Cross multiply
    15,858.86x = 23,772.09 × 10,323.32
  4. Step 4: Simplify right side
    15,858.86x = 245,406,892.14
  5. Step 5: Solve for x
    x = 245,406,892.14/15,858.86
  6. Step 6: Final answer
    x = 15,474.43

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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.