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Finding the Fourth Proportional to 19,681.62, 29,522.67 and 5,830.90

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Solution

The fourth proportional to 19,681.62, 29,522.67 and 5,830.90 is: 8,746.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,681.62 : 29,522.67 = 5,830.90 : x
  2. Step 2: Convert to fraction form
    19,681.62/29,522.67 = 5,830.90/x
  3. Step 3: Cross multiply
    19,681.62x = 29,522.67 × 5,830.90
  4. Step 4: Simplify right side
    19,681.62x = 172,143,736.50
  5. Step 5: Solve for x
    x = 172,143,736.50/19,681.62
  6. Step 6: Final answer
    x = 8,746.42

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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.