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Finding the Fourth Proportional to 15,705.44, 23,530.05 and 8,293.31

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Solution

The fourth proportional to 15,705.44, 23,530.05 and 8,293.31 is: 12,425.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,705.44 : 23,530.05 = 8,293.31 : x
  2. Step 2: Convert to fraction form
    15,705.44/23,530.05 = 8,293.31/x
  3. Step 3: Cross multiply
    15,705.44x = 23,530.05 × 8,293.31
  4. Step 4: Simplify right side
    15,705.44x = 195,141,881.32
  5. Step 5: Solve for x
    x = 195,141,881.32/15,705.44
  6. Step 6: Final answer
    x = 12,425.12

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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.