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Finding the Fourth Proportional to 14,647.72, 20,212.86 and 8,275.36

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Solution

The fourth proportional to 14,647.72, 20,212.86 and 8,275.36 is: 11,419.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,647.72 : 20,212.86 = 8,275.36 : x
  2. Step 2: Convert to fraction form
    14,647.72/20,212.86 = 8,275.36/x
  3. Step 3: Cross multiply
    14,647.72x = 20,212.86 × 8,275.36
  4. Step 4: Simplify right side
    14,647.72x = 167,268,693.13
  5. Step 5: Solve for x
    x = 167,268,693.13/14,647.72
  6. Step 6: Final answer
    x = 11,419.44

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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.