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Finding the Fourth Proportional to 17,657.78, 24,357.53 and 10,580.09

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Solution

The fourth proportional to 17,657.78, 24,357.53 and 10,580.09 is: 14,594.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,657.78 : 24,357.53 = 10,580.09 : x
  2. Step 2: Convert to fraction form
    17,657.78/24,357.53 = 10,580.09/x
  3. Step 3: Cross multiply
    17,657.78x = 24,357.53 × 10,580.09
  4. Step 4: Simplify right side
    17,657.78x = 257,704,764.24
  5. Step 5: Solve for x
    x = 257,704,764.24/17,657.78
  6. Step 6: Final answer
    x = 14,594.41

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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.