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Finding the Fourth Proportional to 17,407.39, 24,021.84 and 9,853.59

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Solution

The fourth proportional to 17,407.39, 24,021.84 and 9,853.59 is: 13,597.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,407.39 : 24,021.84 = 9,853.59 : x
  2. Step 2: Convert to fraction form
    17,407.39/24,021.84 = 9,853.59/x
  3. Step 3: Cross multiply
    17,407.39x = 24,021.84 × 9,853.59
  4. Step 4: Simplify right side
    17,407.39x = 236,701,362.41
  5. Step 5: Solve for x
    x = 236,701,362.41/17,407.39
  6. Step 6: Final answer
    x = 13,597.75

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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.