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Finding the Fourth Proportional to 13,388.99, 20,077.65 and 7,147.60

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Solution

The fourth proportional to 13,388.99, 20,077.65 and 7,147.60 is: 10,718.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,388.99 : 20,077.65 = 7,147.60 : x
  2. Step 2: Convert to fraction form
    13,388.99/20,077.65 = 7,147.60/x
  3. Step 3: Cross multiply
    13,388.99x = 20,077.65 × 7,147.60
  4. Step 4: Simplify right side
    13,388.99x = 143,506,960.95
  5. Step 5: Solve for x
    x = 143,506,960.95/13,388.99
  6. Step 6: Final answer
    x = 10,718.29

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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.