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Finding the Fourth Proportional to 25,224.94, 37,836 and 7,693.39

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Solution

The fourth proportional to 25,224.94, 37,836 and 7,693.39 is: 11,539.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,224.94 : 37,836 = 7,693.39 : x
  2. Step 2: Convert to fraction form
    25,224.94/37,836 = 7,693.39/x
  3. Step 3: Cross multiply
    25,224.94x = 37,836 × 7,693.39
  4. Step 4: Simplify right side
    25,224.94x = 291,087,104.04
  5. Step 5: Solve for x
    x = 291,087,104.04/25,224.94
  6. Step 6: Final answer
    x = 11,539.65

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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.