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Finding the Fourth Proportional to 14,253.72, 19,657.31 and 9,212.64

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Solution

The fourth proportional to 14,253.72, 19,657.31 and 9,212.64 is: 12,705.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,253.72 : 19,657.31 = 9,212.64 : x
  2. Step 2: Convert to fraction form
    14,253.72/19,657.31 = 9,212.64/x
  3. Step 3: Cross multiply
    14,253.72x = 19,657.31 × 9,212.64
  4. Step 4: Simplify right side
    14,253.72x = 181,095,576.05
  5. Step 5: Solve for x
    x = 181,095,576.05/14,253.72
  6. Step 6: Final answer
    x = 12,705.15

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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.