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Finding the Fourth Proportional to 25,783.11, 38,678.38 and 9,778.54

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Solution

The fourth proportional to 25,783.11, 38,678.38 and 9,778.54 is: 14,669.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,783.11 : 38,678.38 = 9,778.54 : x
  2. Step 2: Convert to fraction form
    25,783.11/38,678.38 = 9,778.54/x
  3. Step 3: Cross multiply
    25,783.11x = 38,678.38 × 9,778.54
  4. Step 4: Simplify right side
    25,783.11x = 378,218,085.97
  5. Step 5: Solve for x
    x = 378,218,085.97/25,783.11
  6. Step 6: Final answer
    x = 14,669.22

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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.