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Finding the Fourth Proportional to 24,747, 37,027.50 and 17,365.86

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Solution

The fourth proportional to 24,747, 37,027.50 and 17,365.86 is: 25,983.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,747 : 37,027.50 = 17,365.86 : x
  2. Step 2: Convert to fraction form
    24,747/37,027.50 = 17,365.86/x
  3. Step 3: Cross multiply
    24,747x = 37,027.50 × 17,365.86
  4. Step 4: Simplify right side
    24,747x = 643,014,381.15
  5. Step 5: Solve for x
    x = 643,014,381.15/24,747
  6. Step 6: Final answer
    x = 25,983.53

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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.