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Finding the Fourth Proportional to 17,393.48, 24,002.58 and 9,941

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Solution

The fourth proportional to 17,393.48, 24,002.58 and 9,941 is: 13,718.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,393.48 : 24,002.58 = 9,941 : x
  2. Step 2: Convert to fraction form
    17,393.48/24,002.58 = 9,941/x
  3. Step 3: Cross multiply
    17,393.48x = 24,002.58 × 9,941
  4. Step 4: Simplify right side
    17,393.48x = 238,609,647.78
  5. Step 5: Solve for x
    x = 238,609,647.78/17,393.48
  6. Step 6: Final answer
    x = 13,718.34

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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.