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Finding the Fourth Proportional to 13,734.71, 20,602.07 and 4,967.58

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Solution

The fourth proportional to 13,734.71, 20,602.07 and 4,967.58 is: 7,451.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,734.71 : 20,602.07 = 4,967.58 : x
  2. Step 2: Convert to fraction form
    13,734.71/20,602.07 = 4,967.58/x
  3. Step 3: Cross multiply
    13,734.71x = 20,602.07 × 4,967.58
  4. Step 4: Simplify right side
    13,734.71x = 102,342,400.02
  5. Step 5: Solve for x
    x = 102,342,400.02/13,734.71
  6. Step 6: Final answer
    x = 7,451.37

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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.