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Finding the Fourth Proportional to 22,956, 31,683.12 and 13,025.76

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Solution

The fourth proportional to 22,956, 31,683.12 and 13,025.76 is: 17,977.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,956 : 31,683.12 = 13,025.76 : x
  2. Step 2: Convert to fraction form
    22,956/31,683.12 = 13,025.76/x
  3. Step 3: Cross multiply
    22,956x = 31,683.12 × 13,025.76
  4. Step 4: Simplify right side
    22,956x = 412,696,717.17
  5. Step 5: Solve for x
    x = 412,696,717.17/22,956
  6. Step 6: Final answer
    x = 17,977.73

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Why These Related Problems?

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