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Finding the Fourth Proportional to 16,578.38, 24,870 and 4,890.08

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Solution

The fourth proportional to 16,578.38, 24,870 and 4,890.08 is: 7,335.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,578.38 : 24,870 = 4,890.08 : x
  2. Step 2: Convert to fraction form
    16,578.38/24,870 = 4,890.08/x
  3. Step 3: Cross multiply
    16,578.38x = 24,870 × 4,890.08
  4. Step 4: Simplify right side
    16,578.38x = 121,616,289.60
  5. Step 5: Solve for x
    x = 121,616,289.60/16,578.38
  6. Step 6: Final answer
    x = 7,335.84

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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.