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Finding the Fourth Proportional to 14,406.35, 21,601.72 and 6,499.63

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Solution

The fourth proportional to 14,406.35, 21,601.72 and 6,499.63 is: 9,745.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,406.35 : 21,601.72 = 6,499.63 : x
  2. Step 2: Convert to fraction form
    14,406.35/21,601.72 = 6,499.63/x
  3. Step 3: Cross multiply
    14,406.35x = 21,601.72 × 6,499.63
  4. Step 4: Simplify right side
    14,406.35x = 140,403,187.36
  5. Step 5: Solve for x
    x = 140,403,187.36/14,406.35
  6. Step 6: Final answer
    x = 9,745.92

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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.