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Finding the Fourth Proportional to 25,097.78, 37,644.62 and 8,457.45

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Solution

The fourth proportional to 25,097.78, 37,644.62 and 8,457.45 is: 12,685.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,097.78 : 37,644.62 = 8,457.45 : x
  2. Step 2: Convert to fraction form
    25,097.78/37,644.62 = 8,457.45/x
  3. Step 3: Cross multiply
    25,097.78x = 37,644.62 × 8,457.45
  4. Step 4: Simplify right side
    25,097.78x = 318,377,449.13
  5. Step 5: Solve for x
    x = 318,377,449.13/25,097.78
  6. Step 6: Final answer
    x = 12,685.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.