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Finding the Fourth Proportional to 28,219.25, 38,942.57 and 15,644

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Solution

The fourth proportional to 28,219.25, 38,942.57 and 15,644 is: 21,588.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,219.25 : 38,942.57 = 15,644 : x
  2. Step 2: Convert to fraction form
    28,219.25/38,942.57 = 15,644/x
  3. Step 3: Cross multiply
    28,219.25x = 38,942.57 × 15,644
  4. Step 4: Simplify right side
    28,219.25x = 609,217,565.08
  5. Step 5: Solve for x
    x = 609,217,565.08/28,219.25
  6. Step 6: Final answer
    x = 21,588.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.