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Finding the Fourth Proportional to 13,810.70, 20,697.57 and 5,037.34

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Solution

The fourth proportional to 13,810.70, 20,697.57 and 5,037.34 is: 7,549.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,810.70 : 20,697.57 = 5,037.34 : x
  2. Step 2: Convert to fraction form
    13,810.70/20,697.57 = 5,037.34/x
  3. Step 3: Cross multiply
    13,810.70x = 20,697.57 × 5,037.34
  4. Step 4: Simplify right side
    13,810.70x = 104,260,697.26
  5. Step 5: Solve for x
    x = 104,260,697.26/13,810.70
  6. Step 6: Final answer
    x = 7,549.27

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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.