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Finding the Fourth Proportional to 14,214.22, 19,596.54 and 9,959.56

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Solution

The fourth proportional to 14,214.22, 19,596.54 and 9,959.56 is: 13,730.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,214.22 : 19,596.54 = 9,959.56 : x
  2. Step 2: Convert to fraction form
    14,214.22/19,596.54 = 9,959.56/x
  3. Step 3: Cross multiply
    14,214.22x = 19,596.54 × 9,959.56
  4. Step 4: Simplify right side
    14,214.22x = 195,172,915.92
  5. Step 5: Solve for x
    x = 195,172,915.92/14,214.22
  6. Step 6: Final answer
    x = 13,730.82

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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.