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Finding the Fourth Proportional to 17,408.16, 24,023.80 and 9,854.34

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Solution

The fourth proportional to 17,408.16, 24,023.80 and 9,854.34 is: 13,599.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,408.16 : 24,023.80 = 9,854.34 : x
  2. Step 2: Convert to fraction form
    17,408.16/24,023.80 = 9,854.34/x
  3. Step 3: Cross multiply
    17,408.16x = 24,023.80 × 9,854.34
  4. Step 4: Simplify right side
    17,408.16x = 236,738,668.66
  5. Step 5: Solve for x
    x = 236,738,668.66/17,408.16
  6. Step 6: Final answer
    x = 13,599.29

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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.