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Finding the Fourth Proportional to 19,722.84, 29,596.56 and 8,036.04

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Solution

The fourth proportional to 19,722.84, 29,596.56 and 8,036.04 is: 12,059.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,722.84 : 29,596.56 = 8,036.04 : x
  2. Step 2: Convert to fraction form
    19,722.84/29,596.56 = 8,036.04/x
  3. Step 3: Cross multiply
    19,722.84x = 29,596.56 × 8,036.04
  4. Step 4: Simplify right side
    19,722.84x = 237,839,140.02
  5. Step 5: Solve for x
    x = 237,839,140.02/19,722.84
  6. Step 6: Final answer
    x = 12,059.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.