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Finding the Fourth Proportional to 14,454.82, 21,683.83 and 5,688.58

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Solution

The fourth proportional to 14,454.82, 21,683.83 and 5,688.58 is: 8,533.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,454.82 : 21,683.83 = 5,688.58 : x
  2. Step 2: Convert to fraction form
    14,454.82/21,683.83 = 5,688.58/x
  3. Step 3: Cross multiply
    14,454.82x = 21,683.83 × 5,688.58
  4. Step 4: Simplify right side
    14,454.82x = 123,350,201.66
  5. Step 5: Solve for x
    x = 123,350,201.66/14,454.82
  6. Step 6: Final answer
    x = 8,533.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.