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Finding the Fourth Proportional to 25,238.67, 37,848.15 and 7,464.30

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Solution

The fourth proportional to 25,238.67, 37,848.15 and 7,464.30 is: 11,193.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,238.67 : 37,848.15 = 7,464.30 : x
  2. Step 2: Convert to fraction form
    25,238.67/37,848.15 = 7,464.30/x
  3. Step 3: Cross multiply
    25,238.67x = 37,848.15 × 7,464.30
  4. Step 4: Simplify right side
    25,238.67x = 282,509,946.05
  5. Step 5: Solve for x
    x = 282,509,946.05/25,238.67
  6. Step 6: Final answer
    x = 11,193.54

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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.