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Finding the Fourth Proportional to 19,675.53, 29,505.47 and 7,192.71

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Solution

The fourth proportional to 19,675.53, 29,505.47 and 7,192.71 is: 10,786.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,675.53 : 29,505.47 = 7,192.71 : x
  2. Step 2: Convert to fraction form
    19,675.53/29,505.47 = 7,192.71/x
  3. Step 3: Cross multiply
    19,675.53x = 29,505.47 × 7,192.71
  4. Step 4: Simplify right side
    19,675.53x = 212,224,253.16
  5. Step 5: Solve for x
    x = 212,224,253.16/19,675.53
  6. Step 6: Final answer
    x = 10,786.20

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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.