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Finding the Fourth Proportional to 13,801.44, 19,045.56 and 7,833

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Solution

The fourth proportional to 13,801.44, 19,045.56 and 7,833 is: 10,809.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,801.44 : 19,045.56 = 7,833 : x
  2. Step 2: Convert to fraction form
    13,801.44/19,045.56 = 7,833/x
  3. Step 3: Cross multiply
    13,801.44x = 19,045.56 × 7,833
  4. Step 4: Simplify right side
    13,801.44x = 149,183,871.48
  5. Step 5: Solve for x
    x = 149,183,871.48/13,801.44
  6. Step 6: Final answer
    x = 10,809.30

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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.