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Finding the Fourth Proportional to 13,794.92, 19,036.90 and 7,507.24

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Solution

The fourth proportional to 13,794.92, 19,036.90 and 7,507.24 is: 10,359.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,794.92 : 19,036.90 = 7,507.24 : x
  2. Step 2: Convert to fraction form
    13,794.92/19,036.90 = 7,507.24/x
  3. Step 3: Cross multiply
    13,794.92x = 19,036.90 × 7,507.24
  4. Step 4: Simplify right side
    13,794.92x = 142,914,577.16
  5. Step 5: Solve for x
    x = 142,914,577.16/13,794.92
  6. Step 6: Final answer
    x = 10,359.94

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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.