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Finding the Fourth Proportional to 38,385.60, 57,566.77 and 13,420.99

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Solution

The fourth proportional to 38,385.60, 57,566.77 and 13,420.99 is: 20,127.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,385.60 : 57,566.77 = 13,420.99 : x
  2. Step 2: Convert to fraction form
    38,385.60/57,566.77 = 13,420.99/x
  3. Step 3: Cross multiply
    38,385.60x = 57,566.77 × 13,420.99
  4. Step 4: Simplify right side
    38,385.60x = 772,603,044.50
  5. Step 5: Solve for x
    x = 772,603,044.50/38,385.60
  6. Step 6: Final answer
    x = 20,127.42

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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.