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Finding the Fourth Proportional to 15,840.84, 23,754.24 and 4,745.46

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Solution

The fourth proportional to 15,840.84, 23,754.24 and 4,745.46 is: 7,116.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,840.84 : 23,754.24 = 4,745.46 : x
  2. Step 2: Convert to fraction form
    15,840.84/23,754.24 = 4,745.46/x
  3. Step 3: Cross multiply
    15,840.84x = 23,754.24 × 4,745.46
  4. Step 4: Simplify right side
    15,840.84x = 112,724,795.75
  5. Step 5: Solve for x
    x = 112,724,795.75/15,840.84
  6. Step 6: Final answer
    x = 7,116.09

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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.