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Finding the Fourth Proportional to 16,275.35, 24,411.99 and 5,189.99

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Solution

The fourth proportional to 16,275.35, 24,411.99 and 5,189.99 is: 7,784.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,275.35 : 24,411.99 = 5,189.99 : x
  2. Step 2: Convert to fraction form
    16,275.35/24,411.99 = 5,189.99/x
  3. Step 3: Cross multiply
    16,275.35x = 24,411.99 × 5,189.99
  4. Step 4: Simplify right side
    16,275.35x = 126,697,983.98
  5. Step 5: Solve for x
    x = 126,697,983.98/16,275.35
  6. Step 6: Final answer
    x = 7,784.65

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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.