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Finding the Fourth Proportional to 14,476.44, 21,680.64 and 7,057.66

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Solution

The fourth proportional to 14,476.44, 21,680.64 and 7,057.66 is: 10,569.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,476.44 : 21,680.64 = 7,057.66 : x
  2. Step 2: Convert to fraction form
    14,476.44/21,680.64 = 7,057.66/x
  3. Step 3: Cross multiply
    14,476.44x = 21,680.64 × 7,057.66
  4. Step 4: Simplify right side
    14,476.44x = 153,014,585.70
  5. Step 5: Solve for x
    x = 153,014,585.70/14,476.44
  6. Step 6: Final answer
    x = 10,569.90

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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.