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Finding the Fourth Proportional to 14,444.52, 21,649.05 and 8,209.74

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Solution

The fourth proportional to 14,444.52, 21,649.05 and 8,209.74 is: 12,304.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,444.52 : 21,649.05 = 8,209.74 : x
  2. Step 2: Convert to fraction form
    14,444.52/21,649.05 = 8,209.74/x
  3. Step 3: Cross multiply
    14,444.52x = 21,649.05 × 8,209.74
  4. Step 4: Simplify right side
    14,444.52x = 177,733,071.75
  5. Step 5: Solve for x
    x = 177,733,071.75/14,444.52
  6. Step 6: Final answer
    x = 12,304.53

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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.