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Finding the Fourth Proportional to 14,215.10, 19,616.85 and 7,841.54

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Solution

The fourth proportional to 14,215.10, 19,616.85 and 7,841.54 is: 10,821.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,215.10 : 19,616.85 = 7,841.54 : x
  2. Step 2: Convert to fraction form
    14,215.10/19,616.85 = 7,841.54/x
  3. Step 3: Cross multiply
    14,215.10x = 19,616.85 × 7,841.54
  4. Step 4: Simplify right side
    14,215.10x = 153,826,362.99
  5. Step 5: Solve for x
    x = 153,826,362.99/14,215.10
  6. Step 6: Final answer
    x = 10,821.34

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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.