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Finding the Fourth Proportional to 13,824.66, 19,079.51 and 7,857.80

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Solution

The fourth proportional to 13,824.66, 19,079.51 and 7,857.80 is: 10,844.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,824.66 : 19,079.51 = 7,857.80 : x
  2. Step 2: Convert to fraction form
    13,824.66/19,079.51 = 7,857.80/x
  3. Step 3: Cross multiply
    13,824.66x = 19,079.51 × 7,857.80
  4. Step 4: Simplify right side
    13,824.66x = 149,922,838.99
  5. Step 5: Solve for x
    x = 149,922,838.99/13,824.66
  6. Step 6: Final answer
    x = 10,844.60

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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.