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Finding the Fourth Proportional to 14,419.29, 19,899.41 and 8,047.29

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Solution

The fourth proportional to 14,419.29, 19,899.41 and 8,047.29 is: 11,105.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,419.29 : 19,899.41 = 8,047.29 : x
  2. Step 2: Convert to fraction form
    14,419.29/19,899.41 = 8,047.29/x
  3. Step 3: Cross multiply
    14,419.29x = 19,899.41 × 8,047.29
  4. Step 4: Simplify right side
    14,419.29x = 160,136,282.86
  5. Step 5: Solve for x
    x = 160,136,282.86/14,419.29
  6. Step 6: Final answer
    x = 11,105.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.