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Finding the Fourth Proportional to 17,971.09, 24,800.04 and 10,418.96

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Solution

The fourth proportional to 17,971.09, 24,800.04 and 10,418.96 is: 14,378.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,971.09 : 24,800.04 = 10,418.96 : x
  2. Step 2: Convert to fraction form
    17,971.09/24,800.04 = 10,418.96/x
  3. Step 3: Cross multiply
    17,971.09x = 24,800.04 × 10,418.96
  4. Step 4: Simplify right side
    17,971.09x = 258,390,500.76
  5. Step 5: Solve for x
    x = 258,390,500.76/17,971.09
  6. Step 6: Final answer
    x = 14,378.12

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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.