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Finding the Fourth Proportional to 22,927.48, 31,639.02 and 12,991.48

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Solution

The fourth proportional to 22,927.48, 31,639.02 and 12,991.48 is: 17,927.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,927.48 : 31,639.02 = 12,991.48 : x
  2. Step 2: Convert to fraction form
    22,927.48/31,639.02 = 12,991.48/x
  3. Step 3: Cross multiply
    22,927.48x = 31,639.02 × 12,991.48
  4. Step 4: Simplify right side
    22,927.48x = 411,037,695.55
  5. Step 5: Solve for x
    x = 411,037,695.55/22,927.48
  6. Step 6: Final answer
    x = 17,927.73

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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.