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Finding the Fourth Proportional to 19,872.21, 29,802.38 and 6,542.75

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Solution

The fourth proportional to 19,872.21, 29,802.38 and 6,542.75 is: 9,812.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,872.21 : 29,802.38 = 6,542.75 : x
  2. Step 2: Convert to fraction form
    19,872.21/29,802.38 = 6,542.75/x
  3. Step 3: Cross multiply
    19,872.21x = 29,802.38 × 6,542.75
  4. Step 4: Simplify right side
    19,872.21x = 194,989,442.93
  5. Step 5: Solve for x
    x = 194,989,442.93/19,872.21
  6. Step 6: Final answer
    x = 9,812.17

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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.