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Finding the Fourth Proportional to 25,098.69, 37,648.07 and 10,297.23

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Solution

The fourth proportional to 25,098.69, 37,648.07 and 10,297.23 is: 15,445.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,098.69 : 37,648.07 = 10,297.23 : x
  2. Step 2: Convert to fraction form
    25,098.69/37,648.07 = 10,297.23/x
  3. Step 3: Cross multiply
    25,098.69x = 37,648.07 × 10,297.23
  4. Step 4: Simplify right side
    25,098.69x = 387,670,784.36
  5. Step 5: Solve for x
    x = 387,670,784.36/25,098.69
  6. Step 6: Final answer
    x = 15,445.86

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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.