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Finding the Fourth Proportional to 19,967.10, 29,950.65 and 5,175.90

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Solution

The fourth proportional to 19,967.10, 29,950.65 and 5,175.90 is: 7,763.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,967.10 : 29,950.65 = 5,175.90 : x
  2. Step 2: Convert to fraction form
    19,967.10/29,950.65 = 5,175.90/x
  3. Step 3: Cross multiply
    19,967.10x = 29,950.65 × 5,175.90
  4. Step 4: Simplify right side
    19,967.10x = 155,021,569.34
  5. Step 5: Solve for x
    x = 155,021,569.34/19,967.10
  6. Step 6: Final answer
    x = 7,763.85

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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.