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Finding the Fourth Proportional to 19,687.12, 29,522.02 and 7,203.90

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Solution

The fourth proportional to 19,687.12, 29,522.02 and 7,203.90 is: 10,802.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,687.12 : 29,522.02 = 7,203.90 : x
  2. Step 2: Convert to fraction form
    19,687.12/29,522.02 = 7,203.90/x
  3. Step 3: Cross multiply
    19,687.12x = 29,522.02 × 7,203.90
  4. Step 4: Simplify right side
    19,687.12x = 212,673,661.87
  5. Step 5: Solve for x
    x = 212,673,661.87/19,687.12
  6. Step 6: Final answer
    x = 10,802.68

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Why These Related Problems?

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