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Finding the Fourth Proportional to 14,755.50, 22,147.83 and 7,830

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Solution

The fourth proportional to 14,755.50, 22,147.83 and 7,830 is: 11,752.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,755.50 : 22,147.83 = 7,830 : x
  2. Step 2: Convert to fraction form
    14,755.50/22,147.83 = 7,830/x
  3. Step 3: Cross multiply
    14,755.50x = 22,147.83 × 7,830
  4. Step 4: Simplify right side
    14,755.50x = 173,417,508.90
  5. Step 5: Solve for x
    x = 173,417,508.90/14,755.50
  6. Step 6: Final answer
    x = 11,752.74

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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.