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Finding the Fourth Proportional to 14,283.42, 19,711.71 and 7,995.84

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Solution

The fourth proportional to 14,283.42, 19,711.71 and 7,995.84 is: 11,034.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,283.42 : 19,711.71 = 7,995.84 : x
  2. Step 2: Convert to fraction form
    14,283.42/19,711.71 = 7,995.84/x
  3. Step 3: Cross multiply
    14,283.42x = 19,711.71 × 7,995.84
  4. Step 4: Simplify right side
    14,283.42x = 157,611,679.29
  5. Step 5: Solve for x
    x = 157,611,679.29/14,283.42
  6. Step 6: Final answer
    x = 11,034.59

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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.