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Finding the Fourth Proportional to 22,856, 31,541.28 and 12,921.92

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Solution

The fourth proportional to 22,856, 31,541.28 and 12,921.92 is: 17,832.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,856 : 31,541.28 = 12,921.92 : x
  2. Step 2: Convert to fraction form
    22,856/31,541.28 = 12,921.92/x
  3. Step 3: Cross multiply
    22,856x = 31,541.28 × 12,921.92
  4. Step 4: Simplify right side
    22,856x = 407,573,896.86
  5. Step 5: Solve for x
    x = 407,573,896.86/22,856
  6. Step 6: Final answer
    x = 17,832.25

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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.