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Finding the Fourth Proportional to 14,948.54, 20,629 and 8,234.18

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Solution

The fourth proportional to 14,948.54, 20,629 and 8,234.18 is: 11,363.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,948.54 : 20,629 = 8,234.18 : x
  2. Step 2: Convert to fraction form
    14,948.54/20,629 = 8,234.18/x
  3. Step 3: Cross multiply
    14,948.54x = 20,629 × 8,234.18
  4. Step 4: Simplify right side
    14,948.54x = 169,862,899.22
  5. Step 5: Solve for x
    x = 169,862,899.22/14,948.54
  6. Step 6: Final answer
    x = 11,363.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.