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Finding the Fourth Proportional to 25,202.07, 37,798.52 and 7,429.05

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Solution

The fourth proportional to 25,202.07, 37,798.52 and 7,429.05 is: 11,142.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,202.07 : 37,798.52 = 7,429.05 : x
  2. Step 2: Convert to fraction form
    25,202.07/37,798.52 = 7,429.05/x
  3. Step 3: Cross multiply
    25,202.07x = 37,798.52 × 7,429.05
  4. Step 4: Simplify right side
    25,202.07x = 280,807,057.86
  5. Step 5: Solve for x
    x = 280,807,057.86/25,202.07
  6. Step 6: Final answer
    x = 11,142.22

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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.