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Finding the Fourth Proportional to 16,374.13, 24,540.64 and 7,003.12

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Solution

The fourth proportional to 16,374.13, 24,540.64 and 7,003.12 is: 10,495.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,374.13 : 24,540.64 = 7,003.12 : x
  2. Step 2: Convert to fraction form
    16,374.13/24,540.64 = 7,003.12/x
  3. Step 3: Cross multiply
    16,374.13x = 24,540.64 × 7,003.12
  4. Step 4: Simplify right side
    16,374.13x = 171,861,011.78
  5. Step 5: Solve for x
    x = 171,861,011.78/16,374.13
  6. Step 6: Final answer
    x = 10,495.89

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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.