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Finding the Fourth Proportional to 25,097.84, 37,650.03 and 7,569.44

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Solution

The fourth proportional to 25,097.84, 37,650.03 and 7,569.44 is: 11,355.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,097.84 : 37,650.03 = 7,569.44 : x
  2. Step 2: Convert to fraction form
    25,097.84/37,650.03 = 7,569.44/x
  3. Step 3: Cross multiply
    25,097.84x = 37,650.03 × 7,569.44
  4. Step 4: Simplify right side
    25,097.84x = 284,989,643.08
  5. Step 5: Solve for x
    x = 284,989,643.08/25,097.84
  6. Step 6: Final answer
    x = 11,355.15

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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.