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Finding the Fourth Proportional to 16,578.95, 24,846.48 and 6,706.53

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Solution

The fourth proportional to 16,578.95, 24,846.48 and 6,706.53 is: 10,050.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,578.95 : 24,846.48 = 6,706.53 : x
  2. Step 2: Convert to fraction form
    16,578.95/24,846.48 = 6,706.53/x
  3. Step 3: Cross multiply
    16,578.95x = 24,846.48 × 6,706.53
  4. Step 4: Simplify right side
    16,578.95x = 166,633,663.51
  5. Step 5: Solve for x
    x = 166,633,663.51/16,578.95
  6. Step 6: Final answer
    x = 10,050.92

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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.