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Finding the Fourth Proportional to 16,113.60, 24,169.29 and 5,019.23

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Solution

The fourth proportional to 16,113.60, 24,169.29 and 5,019.23 is: 7,528.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,113.60 : 24,169.29 = 5,019.23 : x
  2. Step 2: Convert to fraction form
    16,113.60/24,169.29 = 5,019.23/x
  3. Step 3: Cross multiply
    16,113.60x = 24,169.29 × 5,019.23
  4. Step 4: Simplify right side
    16,113.60x = 121,311,267.05
  5. Step 5: Solve for x
    x = 121,311,267.05/16,113.60
  6. Step 6: Final answer
    x = 7,528.50

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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.