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Finding the Fourth Proportional to 13,123.54, 19,683.27 and 4,801.61

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Solution

The fourth proportional to 13,123.54, 19,683.27 and 4,801.61 is: 7,201.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,123.54 : 19,683.27 = 4,801.61 : x
  2. Step 2: Convert to fraction form
    13,123.54/19,683.27 = 4,801.61/x
  3. Step 3: Cross multiply
    13,123.54x = 19,683.27 × 4,801.61
  4. Step 4: Simplify right side
    13,123.54x = 94,511,287.65
  5. Step 5: Solve for x
    x = 94,511,287.65/13,123.54
  6. Step 6: Final answer
    x = 7,201.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.