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Finding the Fourth Proportional to 14,296.54, 19,728.86 and 8,009.32

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Solution

The fourth proportional to 14,296.54, 19,728.86 and 8,009.32 is: 11,052.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,296.54 : 19,728.86 = 8,009.32 : x
  2. Step 2: Convert to fraction form
    14,296.54/19,728.86 = 8,009.32/x
  3. Step 3: Cross multiply
    14,296.54x = 19,728.86 × 8,009.32
  4. Step 4: Simplify right side
    14,296.54x = 158,014,752.98
  5. Step 5: Solve for x
    x = 158,014,752.98/14,296.54
  6. Step 6: Final answer
    x = 11,052.66

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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.