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Finding the Fourth Proportional to 20,308.64, 30,421.84 and 15,905.12

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Solution

The fourth proportional to 20,308.64, 30,421.84 and 15,905.12 is: 23,825.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,308.64 : 30,421.84 = 15,905.12 : x
  2. Step 2: Convert to fraction form
    20,308.64/30,421.84 = 15,905.12/x
  3. Step 3: Cross multiply
    20,308.64x = 30,421.84 × 15,905.12
  4. Step 4: Simplify right side
    20,308.64x = 483,863,015.82
  5. Step 5: Solve for x
    x = 483,863,015.82/20,308.64
  6. Step 6: Final answer
    x = 23,825.48

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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.