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Finding the Fourth Proportional to 17,646.18, 24,353.67 and 10,093.20

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Solution

The fourth proportional to 17,646.18, 24,353.67 and 10,093.20 is: 13,929.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,646.18 : 24,353.67 = 10,093.20 : x
  2. Step 2: Convert to fraction form
    17,646.18/24,353.67 = 10,093.20/x
  3. Step 3: Cross multiply
    17,646.18x = 24,353.67 × 10,093.20
  4. Step 4: Simplify right side
    17,646.18x = 245,806,462.04
  5. Step 5: Solve for x
    x = 245,806,462.04/17,646.18
  6. Step 6: Final answer
    x = 13,929.73

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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.