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Finding the Fourth Proportional to 14,252.39, 19,668.16 and 7,964.77

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Solution

The fourth proportional to 14,252.39, 19,668.16 and 7,964.77 is: 10,991.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,252.39 : 19,668.16 = 7,964.77 : x
  2. Step 2: Convert to fraction form
    14,252.39/19,668.16 = 7,964.77/x
  3. Step 3: Cross multiply
    14,252.39x = 19,668.16 × 7,964.77
  4. Step 4: Simplify right side
    14,252.39x = 156,652,370.72
  5. Step 5: Solve for x
    x = 156,652,370.72/14,252.39
  6. Step 6: Final answer
    x = 10,991.31

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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.