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Finding the Fourth Proportional to 17,657.74, 24,367.34 and 9,699.78

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Solution

The fourth proportional to 17,657.74, 24,367.34 and 9,699.78 is: 13,385.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,657.74 : 24,367.34 = 9,699.78 : x
  2. Step 2: Convert to fraction form
    17,657.74/24,367.34 = 9,699.78/x
  3. Step 3: Cross multiply
    17,657.74x = 24,367.34 × 9,699.78
  4. Step 4: Simplify right side
    17,657.74x = 236,357,837.19
  5. Step 5: Solve for x
    x = 236,357,837.19/17,657.74
  6. Step 6: Final answer
    x = 13,385.51

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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.