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Finding the Fourth Proportional to 13,052.84, 19,589.65 and 4,735.24

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Solution

The fourth proportional to 13,052.84, 19,589.65 and 4,735.24 is: 7,106.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,052.84 : 19,589.65 = 4,735.24 : x
  2. Step 2: Convert to fraction form
    13,052.84/19,589.65 = 4,735.24/x
  3. Step 3: Cross multiply
    13,052.84x = 19,589.65 × 4,735.24
  4. Step 4: Simplify right side
    13,052.84x = 92,761,633.45
  5. Step 5: Solve for x
    x = 92,761,633.45/13,052.84
  6. Step 6: Final answer
    x = 7,106.63

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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.