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Finding the Fourth Proportional to 17,699.50, 24,427.74 and 11,410.66

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Solution

The fourth proportional to 17,699.50, 24,427.74 and 11,410.66 is: 15,748.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,699.50 : 24,427.74 = 11,410.66 : x
  2. Step 2: Convert to fraction form
    17,699.50/24,427.74 = 11,410.66/x
  3. Step 3: Cross multiply
    17,699.50x = 24,427.74 × 11,410.66
  4. Step 4: Simplify right side
    17,699.50x = 278,736,635.71
  5. Step 5: Solve for x
    x = 278,736,635.71/17,699.50
  6. Step 6: Final answer
    x = 15,748.28

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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.