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Finding the Fourth Proportional to 14,131.14, 19,501.74 and 7,843.65

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Solution

The fourth proportional to 14,131.14, 19,501.74 and 7,843.65 is: 10,824.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,131.14 : 19,501.74 = 7,843.65 : x
  2. Step 2: Convert to fraction form
    14,131.14/19,501.74 = 7,843.65/x
  3. Step 3: Cross multiply
    14,131.14x = 19,501.74 × 7,843.65
  4. Step 4: Simplify right side
    14,131.14x = 152,964,822.95
  5. Step 5: Solve for x
    x = 152,964,822.95/14,131.14
  6. Step 6: Final answer
    x = 10,824.66

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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.