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Finding the Fourth Proportional to 16,117.56, 24,154.23 and 12,165.45

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Solution

The fourth proportional to 16,117.56, 24,154.23 and 12,165.45 is: 18,231.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,117.56 : 24,154.23 = 12,165.45 : x
  2. Step 2: Convert to fraction form
    16,117.56/24,154.23 = 12,165.45/x
  3. Step 3: Cross multiply
    16,117.56x = 24,154.23 × 12,165.45
  4. Step 4: Simplify right side
    16,117.56x = 293,847,077.35
  5. Step 5: Solve for x
    x = 293,847,077.35/16,117.56
  6. Step 6: Final answer
    x = 18,231.49

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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.