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Finding the Fourth Proportional to 20,415.85, 30,565.35 and 13,830.35

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Solution

The fourth proportional to 20,415.85, 30,565.35 and 13,830.35 is: 20,705.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,415.85 : 30,565.35 = 13,830.35 : x
  2. Step 2: Convert to fraction form
    20,415.85/30,565.35 = 13,830.35/x
  3. Step 3: Cross multiply
    20,415.85x = 30,565.35 × 13,830.35
  4. Step 4: Simplify right side
    20,415.85x = 422,729,335.55
  5. Step 5: Solve for x
    x = 422,729,335.55/20,415.85
  6. Step 6: Final answer
    x = 20,705.94

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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.