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Finding the Fourth Proportional to 20,570.10, 30,851.85 and 7,415.70

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Solution

The fourth proportional to 20,570.10, 30,851.85 and 7,415.70 is: 11,122.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,570.10 : 30,851.85 = 7,415.70 : x
  2. Step 2: Convert to fraction form
    20,570.10/30,851.85 = 7,415.70/x
  3. Step 3: Cross multiply
    20,570.10x = 30,851.85 × 7,415.70
  4. Step 4: Simplify right side
    20,570.10x = 228,788,064.05
  5. Step 5: Solve for x
    x = 228,788,064.05/20,570.10
  6. Step 6: Final answer
    x = 11,122.36

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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.