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Finding the Fourth Proportional to 20,534, 28,337 and 11,102.64

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Solution

The fourth proportional to 20,534, 28,337 and 11,102.64 is: 15,321.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,534 : 28,337 = 11,102.64 : x
  2. Step 2: Convert to fraction form
    20,534/28,337 = 11,102.64/x
  3. Step 3: Cross multiply
    20,534x = 28,337 × 11,102.64
  4. Step 4: Simplify right side
    20,534x = 314,615,509.68
  5. Step 5: Solve for x
    x = 314,615,509.68/20,534
  6. Step 6: Final answer
    x = 15,321.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.