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Finding the Fourth Proportional to 13,537.94, 20,306.93 and 4,773.54

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Solution

The fourth proportional to 13,537.94, 20,306.93 and 4,773.54 is: 7,160.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,537.94 : 20,306.93 = 4,773.54 : x
  2. Step 2: Convert to fraction form
    13,537.94/20,306.93 = 4,773.54/x
  3. Step 3: Cross multiply
    13,537.94x = 20,306.93 × 4,773.54
  4. Step 4: Simplify right side
    13,537.94x = 96,935,918.76
  5. Step 5: Solve for x
    x = 96,935,918.76/13,537.94
  6. Step 6: Final answer
    x = 7,160.32

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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.