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Finding the Fourth Proportional to 14,969.78, 22,454.70 and 4,581.50

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Solution

The fourth proportional to 14,969.78, 22,454.70 and 4,581.50 is: 6,872.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,969.78 : 22,454.70 = 4,581.50 : x
  2. Step 2: Convert to fraction form
    14,969.78/22,454.70 = 4,581.50/x
  3. Step 3: Cross multiply
    14,969.78x = 22,454.70 × 4,581.50
  4. Step 4: Simplify right side
    14,969.78x = 102,876,208.05
  5. Step 5: Solve for x
    x = 102,876,208.05/14,969.78
  6. Step 6: Final answer
    x = 6,872.26

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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.