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Finding the Fourth Proportional to 14,280.81, 19,705.02 and 8,229.70

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Solution

The fourth proportional to 14,280.81, 19,705.02 and 8,229.70 is: 11,355.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,280.81 : 19,705.02 = 8,229.70 : x
  2. Step 2: Convert to fraction form
    14,280.81/19,705.02 = 8,229.70/x
  3. Step 3: Cross multiply
    14,280.81x = 19,705.02 × 8,229.70
  4. Step 4: Simplify right side
    14,280.81x = 162,166,443.16
  5. Step 5: Solve for x
    x = 162,166,443.16/14,280.81
  6. Step 6: Final answer
    x = 11,355.55

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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.