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Finding the Fourth Proportional to 15,904.30, 23,856.45 and 8,128.30

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Solution

The fourth proportional to 15,904.30, 23,856.45 and 8,128.30 is: 12,192.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,904.30 : 23,856.45 = 8,128.30 : x
  2. Step 2: Convert to fraction form
    15,904.30/23,856.45 = 8,128.30/x
  3. Step 3: Cross multiply
    15,904.30x = 23,856.45 × 8,128.30
  4. Step 4: Simplify right side
    15,904.30x = 193,912,382.54
  5. Step 5: Solve for x
    x = 193,912,382.54/15,904.30
  6. Step 6: Final answer
    x = 12,192.45

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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.