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Finding the Fourth Proportional to 20,507.60, 30,761.40 and 13,509.20

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Solution

The fourth proportional to 20,507.60, 30,761.40 and 13,509.20 is: 20,263.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,507.60 : 30,761.40 = 13,509.20 : x
  2. Step 2: Convert to fraction form
    20,507.60/30,761.40 = 13,509.20/x
  3. Step 3: Cross multiply
    20,507.60x = 30,761.40 × 13,509.20
  4. Step 4: Simplify right side
    20,507.60x = 415,561,904.88
  5. Step 5: Solve for x
    x = 415,561,904.88/20,507.60
  6. Step 6: Final answer
    x = 20,263.80

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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.