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Finding the Fourth Proportional to 14,201.35, 19,596.33 and 7,827.64

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Solution

The fourth proportional to 14,201.35, 19,596.33 and 7,827.64 is: 10,801.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,201.35 : 19,596.33 = 7,827.64 : x
  2. Step 2: Convert to fraction form
    14,201.35/19,596.33 = 7,827.64/x
  3. Step 3: Cross multiply
    14,201.35x = 19,596.33 × 7,827.64
  4. Step 4: Simplify right side
    14,201.35x = 153,392,967.57
  5. Step 5: Solve for x
    x = 153,392,967.57/14,201.35
  6. Step 6: Final answer
    x = 10,801.30

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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.