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Finding the Fourth Proportional to 17,699.20, 24,422.64 and 10,431.76

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Solution

The fourth proportional to 17,699.20, 24,422.64 and 10,431.76 is: 14,394.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,699.20 : 24,422.64 = 10,431.76 : x
  2. Step 2: Convert to fraction form
    17,699.20/24,422.64 = 10,431.76/x
  3. Step 3: Cross multiply
    17,699.20x = 24,422.64 × 10,431.76
  4. Step 4: Simplify right side
    17,699.20x = 254,771,119.05
  5. Step 5: Solve for x
    x = 254,771,119.05/17,699.20
  6. Step 6: Final answer
    x = 14,394.50

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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.