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Finding the Fourth Proportional to 13,357.76, 20,035.10 and 3,498

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Solution

The fourth proportional to 13,357.76, 20,035.10 and 3,498 is: 5,246.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,357.76 : 20,035.10 = 3,498 : x
  2. Step 2: Convert to fraction form
    13,357.76/20,035.10 = 3,498/x
  3. Step 3: Cross multiply
    13,357.76x = 20,035.10 × 3,498
  4. Step 4: Simplify right side
    13,357.76x = 70,082,779.80
  5. Step 5: Solve for x
    x = 70,082,779.80/13,357.76
  6. Step 6: Final answer
    x = 5,246.60

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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.