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Finding the Fourth Proportional to 19,919.10, 29,878.56 and 9,499.26

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Solution

The fourth proportional to 19,919.10, 29,878.56 and 9,499.26 is: 14,248.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,919.10 : 29,878.56 = 9,499.26 : x
  2. Step 2: Convert to fraction form
    19,919.10/29,878.56 = 9,499.26/x
  3. Step 3: Cross multiply
    19,919.10x = 29,878.56 × 9,499.26
  4. Step 4: Simplify right side
    19,919.10x = 283,824,209.87
  5. Step 5: Solve for x
    x = 283,824,209.87/19,919.10
  6. Step 6: Final answer
    x = 14,248.85

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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.