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Finding the Fourth Proportional to 23,054.56, 34,584 and 13,878.88

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Solution

The fourth proportional to 23,054.56, 34,584 and 13,878.88 is: 20,819.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,054.56 : 34,584 = 13,878.88 : x
  2. Step 2: Convert to fraction form
    23,054.56/34,584 = 13,878.88/x
  3. Step 3: Cross multiply
    23,054.56x = 34,584 × 13,878.88
  4. Step 4: Simplify right side
    23,054.56x = 479,987,185.92
  5. Step 5: Solve for x
    x = 479,987,185.92/23,054.56
  6. Step 6: Final answer
    x = 20,819.62

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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.