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Finding the Fourth Proportional to 13,421.77, 20,127.03 and 5,097.20

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Solution

The fourth proportional to 13,421.77, 20,127.03 and 5,097.20 is: 7,643.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,421.77 : 20,127.03 = 5,097.20 : x
  2. Step 2: Convert to fraction form
    13,421.77/20,127.03 = 5,097.20/x
  3. Step 3: Cross multiply
    13,421.77x = 20,127.03 × 5,097.20
  4. Step 4: Simplify right side
    13,421.77x = 102,591,406.24
  5. Step 5: Solve for x
    x = 102,591,406.24/13,421.77
  6. Step 6: Final answer
    x = 7,643.66

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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.