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Finding the Fourth Proportional to 14,131.77, 19,500.93 and 7,844.10

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Solution

The fourth proportional to 14,131.77, 19,500.93 and 7,844.10 is: 10,824.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,131.77 : 19,500.93 = 7,844.10 : x
  2. Step 2: Convert to fraction form
    14,131.77/19,500.93 = 7,844.10/x
  3. Step 3: Cross multiply
    14,131.77x = 19,500.93 × 7,844.10
  4. Step 4: Simplify right side
    14,131.77x = 152,967,245.01
  5. Step 5: Solve for x
    x = 152,967,245.01/14,131.77
  6. Step 6: Final answer
    x = 10,824.35

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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.