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Finding the Fourth Proportional to 13,697.90, 20,549.93 and 4,338.48

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Solution

The fourth proportional to 13,697.90, 20,549.93 and 4,338.48 is: 6,508.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,697.90 : 20,549.93 = 4,338.48 : x
  2. Step 2: Convert to fraction form
    13,697.90/20,549.93 = 4,338.48/x
  3. Step 3: Cross multiply
    13,697.90x = 20,549.93 × 4,338.48
  4. Step 4: Simplify right side
    13,697.90x = 89,155,460.31
  5. Step 5: Solve for x
    x = 89,155,460.31/13,697.90
  6. Step 6: Final answer
    x = 6,508.70

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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.