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Finding the Fourth Proportional to 13,794.48, 19,036.50 and 7,826.16

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Solution

The fourth proportional to 13,794.48, 19,036.50 and 7,826.16 is: 10,800.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,794.48 : 19,036.50 = 7,826.16 : x
  2. Step 2: Convert to fraction form
    13,794.48/19,036.50 = 7,826.16/x
  3. Step 3: Cross multiply
    13,794.48x = 19,036.50 × 7,826.16
  4. Step 4: Simplify right side
    13,794.48x = 148,982,694.84
  5. Step 5: Solve for x
    x = 148,982,694.84/13,794.48
  6. Step 6: Final answer
    x = 10,800.17

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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.