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Finding the Fourth Proportional to 14,200.58, 19,596.94 and 7,827.39

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Solution

The fourth proportional to 14,200.58, 19,596.94 and 7,827.39 is: 10,801.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,200.58 : 19,596.94 = 7,827.39 : x
  2. Step 2: Convert to fraction form
    14,200.58/19,596.94 = 7,827.39/x
  3. Step 3: Cross multiply
    14,200.58x = 19,596.94 × 7,827.39
  4. Step 4: Simplify right side
    14,200.58x = 153,392,902.04
  5. Step 5: Solve for x
    x = 153,392,902.04/14,200.58
  6. Step 6: Final answer
    x = 10,801.88

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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.