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Finding the Fourth Proportional to 14,406.30, 21,600.81 and 5,630.76

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Solution

The fourth proportional to 14,406.30, 21,600.81 and 5,630.76 is: 8,442.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,406.30 : 21,600.81 = 5,630.76 : x
  2. Step 2: Convert to fraction form
    14,406.30/21,600.81 = 5,630.76/x
  3. Step 3: Cross multiply
    14,406.30x = 21,600.81 × 5,630.76
  4. Step 4: Simplify right side
    14,406.30x = 121,628,976.92
  5. Step 5: Solve for x
    x = 121,628,976.92/14,406.30
  6. Step 6: Final answer
    x = 8,442.76

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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.