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Finding the Fourth Proportional to 16,137.21, 24,178.51 and 9,884.15

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Solution

The fourth proportional to 16,137.21, 24,178.51 and 9,884.15 is: 14,809.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,137.21 : 24,178.51 = 9,884.15 : x
  2. Step 2: Convert to fraction form
    16,137.21/24,178.51 = 9,884.15/x
  3. Step 3: Cross multiply
    16,137.21x = 24,178.51 × 9,884.15
  4. Step 4: Simplify right side
    16,137.21x = 238,984,019.62
  5. Step 5: Solve for x
    x = 238,984,019.62/16,137.21
  6. Step 6: Final answer
    x = 14,809.50

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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.