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Finding the Fourth Proportional to 22,484.34, 31,056 and 16,844.32

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Solution

The fourth proportional to 22,484.34, 31,056 and 16,844.32 is: 23,265.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,484.34 : 31,056 = 16,844.32 : x
  2. Step 2: Convert to fraction form
    22,484.34/31,056 = 16,844.32/x
  3. Step 3: Cross multiply
    22,484.34x = 31,056 × 16,844.32
  4. Step 4: Simplify right side
    22,484.34x = 523,117,201.92
  5. Step 5: Solve for x
    x = 523,117,201.92/22,484.34
  6. Step 6: Final answer
    x = 23,265.85

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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.