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Finding the Fourth Proportional to 17,461.86, 24,097.44 and 9,504.05

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Solution

The fourth proportional to 17,461.86, 24,097.44 and 9,504.05 is: 13,115.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,461.86 : 24,097.44 = 9,504.05 : x
  2. Step 2: Convert to fraction form
    17,461.86/24,097.44 = 9,504.05/x
  3. Step 3: Cross multiply
    17,461.86x = 24,097.44 × 9,504.05
  4. Step 4: Simplify right side
    17,461.86x = 229,023,154.14
  5. Step 5: Solve for x
    x = 229,023,154.14/17,461.86
  6. Step 6: Final answer
    x = 13,115.62

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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.