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Finding the Fourth Proportional to 17,856.78, 24,648.06 and 10,406.22

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Solution

The fourth proportional to 17,856.78, 24,648.06 and 10,406.22 is: 14,363.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,856.78 : 24,648.06 = 10,406.22 : x
  2. Step 2: Convert to fraction form
    17,856.78/24,648.06 = 10,406.22/x
  3. Step 3: Cross multiply
    17,856.78x = 24,648.06 × 10,406.22
  4. Step 4: Simplify right side
    17,856.78x = 256,493,134.93
  5. Step 5: Solve for x
    x = 256,493,134.93/17,856.78
  6. Step 6: Final answer
    x = 14,363.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.