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Finding the Fourth Proportional to 25,097.34, 37,649.28 and 7,568.94

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Solution

The fourth proportional to 25,097.34, 37,649.28 and 7,568.94 is: 11,354.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,097.34 : 37,649.28 = 7,568.94 : x
  2. Step 2: Convert to fraction form
    25,097.34/37,649.28 = 7,568.94/x
  3. Step 3: Cross multiply
    25,097.34x = 37,649.28 × 7,568.94
  4. Step 4: Simplify right side
    25,097.34x = 284,965,141.36
  5. Step 5: Solve for x
    x = 284,965,141.36/25,097.34
  6. Step 6: Final answer
    x = 11,354.40

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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.