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Finding the Fourth Proportional to 14,179.23, 19,568.47 and 8,211

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Solution

The fourth proportional to 14,179.23, 19,568.47 and 8,211 is: 11,331.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,179.23 : 19,568.47 = 8,211 : x
  2. Step 2: Convert to fraction form
    14,179.23/19,568.47 = 8,211/x
  3. Step 3: Cross multiply
    14,179.23x = 19,568.47 × 8,211
  4. Step 4: Simplify right side
    14,179.23x = 160,676,707.17
  5. Step 5: Solve for x
    x = 160,676,707.17/14,179.23
  6. Step 6: Final answer
    x = 11,331.84

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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.