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Finding the Fourth Proportional to 13,913.98, 20,836.35 and 9,734.42

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Solution

The fourth proportional to 13,913.98, 20,836.35 and 9,734.42 is: 14,577.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,913.98 : 20,836.35 = 9,734.42 : x
  2. Step 2: Convert to fraction form
    13,913.98/20,836.35 = 9,734.42/x
  3. Step 3: Cross multiply
    13,913.98x = 20,836.35 × 9,734.42
  4. Step 4: Simplify right side
    13,913.98x = 202,829,834.26
  5. Step 5: Solve for x
    x = 202,829,834.26/13,913.98
  6. Step 6: Final answer
    x = 14,577.42

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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.