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Finding the Fourth Proportional to 14,755.12, 22,130.34 and 4,894

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Solution

The fourth proportional to 14,755.12, 22,130.34 and 4,894 is: 7,340.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,755.12 : 22,130.34 = 4,894 : x
  2. Step 2: Convert to fraction form
    14,755.12/22,130.34 = 4,894/x
  3. Step 3: Cross multiply
    14,755.12x = 22,130.34 × 4,894
  4. Step 4: Simplify right side
    14,755.12x = 108,305,883.96
  5. Step 5: Solve for x
    x = 108,305,883.96/14,755.12
  6. Step 6: Final answer
    x = 7,340.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.