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Finding the Fourth Proportional to 22,682.28, 31,300.74 and 13,257

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Solution

The fourth proportional to 22,682.28, 31,300.74 and 13,257 is: 18,294.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,682.28 : 31,300.74 = 13,257 : x
  2. Step 2: Convert to fraction form
    22,682.28/31,300.74 = 13,257/x
  3. Step 3: Cross multiply
    22,682.28x = 31,300.74 × 13,257
  4. Step 4: Simplify right side
    22,682.28x = 414,953,910.18
  5. Step 5: Solve for x
    x = 414,953,910.18/22,682.28
  6. Step 6: Final answer
    x = 18,294.19

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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.