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Finding the Fourth Proportional to 20,416.64, 30,565.20 and 15,505.60

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Solution

The fourth proportional to 20,416.64, 30,565.20 and 15,505.60 is: 23,213.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,416.64 : 30,565.20 = 15,505.60 : x
  2. Step 2: Convert to fraction form
    20,416.64/30,565.20 = 15,505.60/x
  3. Step 3: Cross multiply
    20,416.64x = 30,565.20 × 15,505.60
  4. Step 4: Simplify right side
    20,416.64x = 473,931,765.12
  5. Step 5: Solve for x
    x = 473,931,765.12/20,416.64
  6. Step 6: Final answer
    x = 23,213.01

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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.