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Finding the Fourth Proportional to 24,565.68, 33,889.86 and 16,605

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Solution

The fourth proportional to 24,565.68, 33,889.86 and 16,605 is: 22,907.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,565.68 : 33,889.86 = 16,605 : x
  2. Step 2: Convert to fraction form
    24,565.68/33,889.86 = 16,605/x
  3. Step 3: Cross multiply
    24,565.68x = 33,889.86 × 16,605
  4. Step 4: Simplify right side
    24,565.68x = 562,741,125.30
  5. Step 5: Solve for x
    x = 562,741,125.30/24,565.68
  6. Step 6: Final answer
    x = 22,907.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.