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Finding the Fourth Proportional to 25,108.83, 37,662.98 and 6,133.64

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Solution

The fourth proportional to 25,108.83, 37,662.98 and 6,133.64 is: 9,200.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,108.83 : 37,662.98 = 6,133.64 : x
  2. Step 2: Convert to fraction form
    25,108.83/37,662.98 = 6,133.64/x
  3. Step 3: Cross multiply
    25,108.83x = 37,662.98 × 6,133.64
  4. Step 4: Simplify right side
    25,108.83x = 231,010,941.66
  5. Step 5: Solve for x
    x = 231,010,941.66/25,108.83
  6. Step 6: Final answer
    x = 9,200.39

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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.