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Finding the Fourth Proportional to 14,727, 20,322.90 and 8,012.46

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Solution

The fourth proportional to 14,727, 20,322.90 and 8,012.46 is: 11,057.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,727 : 20,322.90 = 8,012.46 : x
  2. Step 2: Convert to fraction form
    14,727/20,322.90 = 8,012.46/x
  3. Step 3: Cross multiply
    14,727x = 20,322.90 × 8,012.46
  4. Step 4: Simplify right side
    14,727x = 162,836,423.33
  5. Step 5: Solve for x
    x = 162,836,423.33/14,727
  6. Step 6: Final answer
    x = 11,057.00

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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.