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Finding the Fourth Proportional to 15,886.23, 23,828.31 and 6,523.82

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Solution

The fourth proportional to 15,886.23, 23,828.31 and 6,523.82 is: 9,785.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,886.23 : 23,828.31 = 6,523.82 : x
  2. Step 2: Convert to fraction form
    15,886.23/23,828.31 = 6,523.82/x
  3. Step 3: Cross multiply
    15,886.23x = 23,828.31 × 6,523.82
  4. Step 4: Simplify right side
    15,886.23x = 155,451,605.34
  5. Step 5: Solve for x
    x = 155,451,605.34/15,886.23
  6. Step 6: Final answer
    x = 9,785.30

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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.