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Finding the Fourth Proportional to 19,658.90, 29,500.50 and 7,972.22

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Solution

The fourth proportional to 19,658.90, 29,500.50 and 7,972.22 is: 11,963.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,658.90 : 29,500.50 = 7,972.22 : x
  2. Step 2: Convert to fraction form
    19,658.90/29,500.50 = 7,972.22/x
  3. Step 3: Cross multiply
    19,658.90x = 29,500.50 × 7,972.22
  4. Step 4: Simplify right side
    19,658.90x = 235,184,476.11
  5. Step 5: Solve for x
    x = 235,184,476.11/19,658.90
  6. Step 6: Final answer
    x = 11,963.26

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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.