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Finding the Fourth Proportional to 30,002.62, 41,408.68 and 17,434.66

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Solution

The fourth proportional to 30,002.62, 41,408.68 and 17,434.66 is: 24,062.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,002.62 : 41,408.68 = 17,434.66 : x
  2. Step 2: Convert to fraction form
    30,002.62/41,408.68 = 17,434.66/x
  3. Step 3: Cross multiply
    30,002.62x = 41,408.68 × 17,434.66
  4. Step 4: Simplify right side
    30,002.62x = 721,946,256.85
  5. Step 5: Solve for x
    x = 721,946,256.85/30,002.62
  6. Step 6: Final answer
    x = 24,062.77

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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.