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Finding the Fourth Proportional to 14,029.96, 19,363.18 and 9,778.27

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Solution

The fourth proportional to 14,029.96, 19,363.18 and 9,778.27 is: 13,495.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,029.96 : 19,363.18 = 9,778.27 : x
  2. Step 2: Convert to fraction form
    14,029.96/19,363.18 = 9,778.27/x
  3. Step 3: Cross multiply
    14,029.96x = 19,363.18 × 9,778.27
  4. Step 4: Simplify right side
    14,029.96x = 189,338,305.28
  5. Step 5: Solve for x
    x = 189,338,305.28/14,029.96
  6. Step 6: Final answer
    x = 13,495.29

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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.