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Finding the Fourth Proportional to 14,131.13, 19,501.56 and 7,843.50

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Solution

The fourth proportional to 14,131.13, 19,501.56 and 7,843.50 is: 10,824.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,131.13 : 19,501.56 = 7,843.50 : x
  2. Step 2: Convert to fraction form
    14,131.13/19,501.56 = 7,843.50/x
  3. Step 3: Cross multiply
    14,131.13x = 19,501.56 × 7,843.50
  4. Step 4: Simplify right side
    14,131.13x = 152,960,485.86
  5. Step 5: Solve for x
    x = 152,960,485.86/14,131.13
  6. Step 6: Final answer
    x = 10,824.37

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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.