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Finding the Fourth Proportional to 15,409.31, 23,109.32 and 8,009.72

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Solution

The fourth proportional to 15,409.31, 23,109.32 and 8,009.72 is: 12,012.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,409.31 : 23,109.32 = 8,009.72 : x
  2. Step 2: Convert to fraction form
    15,409.31/23,109.32 = 8,009.72/x
  3. Step 3: Cross multiply
    15,409.31x = 23,109.32 × 8,009.72
  4. Step 4: Simplify right side
    15,409.31x = 185,099,142.54
  5. Step 5: Solve for x
    x = 185,099,142.54/15,409.31
  6. Step 6: Final answer
    x = 12,012.16

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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.