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Finding the Fourth Proportional to 13,801.66, 19,045.33 and 7,833.45

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Solution

The fourth proportional to 13,801.66, 19,045.33 and 7,833.45 is: 10,809.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,801.66 : 19,045.33 = 7,833.45 : x
  2. Step 2: Convert to fraction form
    13,801.66/19,045.33 = 7,833.45/x
  3. Step 3: Cross multiply
    13,801.66x = 19,045.33 × 7,833.45
  4. Step 4: Simplify right side
    13,801.66x = 149,190,640.29
  5. Step 5: Solve for x
    x = 149,190,640.29/13,801.66
  6. Step 6: Final answer
    x = 10,809.62

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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.