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Finding the Fourth Proportional to 17,985.70, 24,819.10 and 10,027.45

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Solution

The fourth proportional to 17,985.70, 24,819.10 and 10,027.45 is: 13,837.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,985.70 : 24,819.10 = 10,027.45 : x
  2. Step 2: Convert to fraction form
    17,985.70/24,819.10 = 10,027.45/x
  3. Step 3: Cross multiply
    17,985.70x = 24,819.10 × 10,027.45
  4. Step 4: Simplify right side
    17,985.70x = 248,872,284.30
  5. Step 5: Solve for x
    x = 248,872,284.30/17,985.70
  6. Step 6: Final answer
    x = 13,837.23

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