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Finding the Fourth Proportional to 16,057.39, 24,089.75 and 8,661.69

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Solution

The fourth proportional to 16,057.39, 24,089.75 and 8,661.69 is: 12,994.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,057.39 : 24,089.75 = 8,661.69 : x
  2. Step 2: Convert to fraction form
    16,057.39/24,089.75 = 8,661.69/x
  3. Step 3: Cross multiply
    16,057.39x = 24,089.75 × 8,661.69
  4. Step 4: Simplify right side
    16,057.39x = 208,657,782.92
  5. Step 5: Solve for x
    x = 208,657,782.92/16,057.39
  6. Step 6: Final answer
    x = 12,994.50

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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.