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Finding the Fourth Proportional to 28,392.36, 39,181.24 and 15,817

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Solution

The fourth proportional to 28,392.36, 39,181.24 and 15,817 is: 21,827.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,392.36 : 39,181.24 = 15,817 : x
  2. Step 2: Convert to fraction form
    28,392.36/39,181.24 = 15,817/x
  3. Step 3: Cross multiply
    28,392.36x = 39,181.24 × 15,817
  4. Step 4: Simplify right side
    28,392.36x = 619,729,673.08
  5. Step 5: Solve for x
    x = 619,729,673.08/28,392.36
  6. Step 6: Final answer
    x = 21,827.34

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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.