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Finding the Fourth Proportional to 25,225.35, 37,840.20 and 6,505.22

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Solution

The fourth proportional to 25,225.35, 37,840.20 and 6,505.22 is: 9,758.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,225.35 : 37,840.20 = 6,505.22 : x
  2. Step 2: Convert to fraction form
    25,225.35/37,840.20 = 6,505.22/x
  3. Step 3: Cross multiply
    25,225.35x = 37,840.20 × 6,505.22
  4. Step 4: Simplify right side
    25,225.35x = 246,158,825.84
  5. Step 5: Solve for x
    x = 246,158,825.84/25,225.35
  6. Step 6: Final answer
    x = 9,758.39

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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.