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Finding the Fourth Proportional to 24,294.34, 36,429 and 11,135.44

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Solution

The fourth proportional to 24,294.34, 36,429 and 11,135.44 is: 16,697.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,294.34 : 36,429 = 11,135.44 : x
  2. Step 2: Convert to fraction form
    24,294.34/36,429 = 11,135.44/x
  3. Step 3: Cross multiply
    24,294.34x = 36,429 × 11,135.44
  4. Step 4: Simplify right side
    24,294.34x = 405,652,943.76
  5. Step 5: Solve for x
    x = 405,652,943.76/24,294.34
  6. Step 6: Final answer
    x = 16,697.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.