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Finding the Fourth Proportional to 10,638.61, 14,677.31 and 10,622.21

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Solution

The fourth proportional to 10,638.61, 14,677.31 and 10,622.21 is: 14,654.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,638.61 : 14,677.31 = 10,622.21 : x
  2. Step 2: Convert to fraction form
    10,638.61/14,677.31 = 10,622.21/x
  3. Step 3: Cross multiply
    10,638.61x = 14,677.31 × 10,622.21
  4. Step 4: Simplify right side
    10,638.61x = 155,905,422.22
  5. Step 5: Solve for x
    x = 155,905,422.22/10,638.61
  6. Step 6: Final answer
    x = 14,654.68

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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.