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Finding the Fourth Proportional to 17,971.41, 24,801.30 and 10,013.63

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Solution

The fourth proportional to 17,971.41, 24,801.30 and 10,013.63 is: 13,819.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,971.41 : 24,801.30 = 10,013.63 : x
  2. Step 2: Convert to fraction form
    17,971.41/24,801.30 = 10,013.63/x
  3. Step 3: Cross multiply
    17,971.41x = 24,801.30 × 10,013.63
  4. Step 4: Simplify right side
    17,971.41x = 248,351,041.72
  5. Step 5: Solve for x
    x = 248,351,041.72/17,971.41
  6. Step 6: Final answer
    x = 13,819.23

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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.