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Finding the Fourth Proportional to 13,052.88, 19,584.78 and 5,653.44

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Solution

The fourth proportional to 13,052.88, 19,584.78 and 5,653.44 is: 8,482.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,052.88 : 19,584.78 = 5,653.44 : x
  2. Step 2: Convert to fraction form
    13,052.88/19,584.78 = 5,653.44/x
  3. Step 3: Cross multiply
    13,052.88x = 19,584.78 × 5,653.44
  4. Step 4: Simplify right side
    13,052.88x = 110,721,378.64
  5. Step 5: Solve for x
    x = 110,721,378.64/13,052.88
  6. Step 6: Final answer
    x = 8,482.52

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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.