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Finding the Fourth Proportional to 14,319.65, 19,761.23 and 7,946.27

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Solution

The fourth proportional to 14,319.65, 19,761.23 and 7,946.27 is: 10,965.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,319.65 : 19,761.23 = 7,946.27 : x
  2. Step 2: Convert to fraction form
    14,319.65/19,761.23 = 7,946.27/x
  3. Step 3: Cross multiply
    14,319.65x = 19,761.23 × 7,946.27
  4. Step 4: Simplify right side
    14,319.65x = 157,028,069.11
  5. Step 5: Solve for x
    x = 157,028,069.11/14,319.65
  6. Step 6: Final answer
    x = 10,965.92

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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.