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Finding the Fourth Proportional to 25,985, 38,940.78 and 12,819.08

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Solution

The fourth proportional to 25,985, 38,940.78 and 12,819.08 is: 19,210.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,985 : 38,940.78 = 12,819.08 : x
  2. Step 2: Convert to fraction form
    25,985/38,940.78 = 12,819.08/x
  3. Step 3: Cross multiply
    25,985x = 38,940.78 × 12,819.08
  4. Step 4: Simplify right side
    25,985x = 499,184,974.08
  5. Step 5: Solve for x
    x = 499,184,974.08/25,985
  6. Step 6: Final answer
    x = 19,210.51

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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.