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Finding the Fourth Proportional to 17,578.58, 24,233.21 and 12,534.06

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Solution

The fourth proportional to 17,578.58, 24,233.21 and 12,534.06 is: 17,279.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,578.58 : 24,233.21 = 12,534.06 : x
  2. Step 2: Convert to fraction form
    17,578.58/24,233.21 = 12,534.06/x
  3. Step 3: Cross multiply
    17,578.58x = 24,233.21 × 12,534.06
  4. Step 4: Simplify right side
    17,578.58x = 303,740,508.13
  5. Step 5: Solve for x
    x = 303,740,508.13/17,578.58
  6. Step 6: Final answer
    x = 17,279.01

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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.