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Finding the Fourth Proportional to 14,850.50, 22,265.17 and 6,948.63

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Solution

The fourth proportional to 14,850.50, 22,265.17 and 6,948.63 is: 10,418.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,850.50 : 22,265.17 = 6,948.63 : x
  2. Step 2: Convert to fraction form
    14,850.50/22,265.17 = 6,948.63/x
  3. Step 3: Cross multiply
    14,850.50x = 22,265.17 × 6,948.63
  4. Step 4: Simplify right side
    14,850.50x = 154,712,410.85
  5. Step 5: Solve for x
    x = 154,712,410.85/14,850.50
  6. Step 6: Final answer
    x = 10,418.00

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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.