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Finding the Fourth Proportional to 13,823.58, 20,715.72 and 10,649

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Solution

The fourth proportional to 13,823.58, 20,715.72 and 10,649 is: 15,958.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,823.58 : 20,715.72 = 10,649 : x
  2. Step 2: Convert to fraction form
    13,823.58/20,715.72 = 10,649/x
  3. Step 3: Cross multiply
    13,823.58x = 20,715.72 × 10,649
  4. Step 4: Simplify right side
    13,823.58x = 220,601,702.28
  5. Step 5: Solve for x
    x = 220,601,702.28/13,823.58
  6. Step 6: Final answer
    x = 15,958.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.