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Finding the Fourth Proportional to 14,022.66, 19,351.10 and 8,056.20

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Solution

The fourth proportional to 14,022.66, 19,351.10 and 8,056.20 is: 11,117.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,022.66 : 19,351.10 = 8,056.20 : x
  2. Step 2: Convert to fraction form
    14,022.66/19,351.10 = 8,056.20/x
  3. Step 3: Cross multiply
    14,022.66x = 19,351.10 × 8,056.20
  4. Step 4: Simplify right side
    14,022.66x = 155,896,331.82
  5. Step 5: Solve for x
    x = 155,896,331.82/14,022.66
  6. Step 6: Final answer
    x = 11,117.46

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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.