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Finding the Fourth Proportional to 17,546.51, 24,214.09 and 9,588.74

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Solution

The fourth proportional to 17,546.51, 24,214.09 and 9,588.74 is: 13,232.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,546.51 : 24,214.09 = 9,588.74 : x
  2. Step 2: Convert to fraction form
    17,546.51/24,214.09 = 9,588.74/x
  3. Step 3: Cross multiply
    17,546.51x = 24,214.09 × 9,588.74
  4. Step 4: Simplify right side
    17,546.51x = 232,182,468.30
  5. Step 5: Solve for x
    x = 232,182,468.30/17,546.51
  6. Step 6: Final answer
    x = 13,232.41

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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.