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Finding the Fourth Proportional to 14,219.54, 19,621.41 and 10,020.50

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Solution

The fourth proportional to 14,219.54, 19,621.41 and 10,020.50 is: 13,827.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,219.54 : 19,621.41 = 10,020.50 : x
  2. Step 2: Convert to fraction form
    14,219.54/19,621.41 = 10,020.50/x
  3. Step 3: Cross multiply
    14,219.54x = 19,621.41 × 10,020.50
  4. Step 4: Simplify right side
    14,219.54x = 196,616,338.91
  5. Step 5: Solve for x
    x = 196,616,338.91/14,219.54
  6. Step 6: Final answer
    x = 13,827.19

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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.