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Finding the Fourth Proportional to 13,949.01, 19,252.98 and 7,984.13

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Solution

The fourth proportional to 13,949.01, 19,252.98 and 7,984.13 is: 11,020.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,949.01 : 19,252.98 = 7,984.13 : x
  2. Step 2: Convert to fraction form
    13,949.01/19,252.98 = 7,984.13/x
  3. Step 3: Cross multiply
    13,949.01x = 19,252.98 × 7,984.13
  4. Step 4: Simplify right side
    13,949.01x = 153,718,313.40
  5. Step 5: Solve for x
    x = 153,718,313.40/13,949.01
  6. Step 6: Final answer
    x = 11,020.02

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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.