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Finding the Fourth Proportional to 17,985.32, 24,819.22 and 10,027.38

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Solution

The fourth proportional to 17,985.32, 24,819.22 and 10,027.38 is: 13,837.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,985.32 : 24,819.22 = 10,027.38 : x
  2. Step 2: Convert to fraction form
    17,985.32/24,819.22 = 10,027.38/x
  3. Step 3: Cross multiply
    17,985.32x = 24,819.22 × 10,027.38
  4. Step 4: Simplify right side
    17,985.32x = 248,871,750.24
  5. Step 5: Solve for x
    x = 248,871,750.24/17,985.32
  6. Step 6: Final answer
    x = 13,837.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.