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Finding the Fourth Proportional to 18,701.15, 25,801.20 and 10,634

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Solution

The fourth proportional to 18,701.15, 25,801.20 and 10,634 is: 14,671.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,701.15 : 25,801.20 = 10,634 : x
  2. Step 2: Convert to fraction form
    18,701.15/25,801.20 = 10,634/x
  3. Step 3: Cross multiply
    18,701.15x = 25,801.20 × 10,634
  4. Step 4: Simplify right side
    18,701.15x = 274,369,960.80
  5. Step 5: Solve for x
    x = 274,369,960.80/18,701.15
  6. Step 6: Final answer
    x = 14,671.29

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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.