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Finding the Fourth Proportional to 14,227.76, 19,627.44 and 8,920.64

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Solution

The fourth proportional to 14,227.76, 19,627.44 and 8,920.64 is: 12,306.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,227.76 : 19,627.44 = 8,920.64 : x
  2. Step 2: Convert to fraction form
    14,227.76/19,627.44 = 8,920.64/x
  3. Step 3: Cross multiply
    14,227.76x = 19,627.44 × 8,920.64
  4. Step 4: Simplify right side
    14,227.76x = 175,089,326.36
  5. Step 5: Solve for x
    x = 175,089,326.36/14,227.76
  6. Step 6: Final answer
    x = 12,306.18

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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.