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Finding the Fourth Proportional to 20,460.78, 30,705.75 and 8,777.34

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Solution

The fourth proportional to 20,460.78, 30,705.75 and 8,777.34 is: 13,172.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,460.78 : 30,705.75 = 8,777.34 : x
  2. Step 2: Convert to fraction form
    20,460.78/30,705.75 = 8,777.34/x
  3. Step 3: Cross multiply
    20,460.78x = 30,705.75 × 8,777.34
  4. Step 4: Simplify right side
    20,460.78x = 269,514,807.71
  5. Step 5: Solve for x
    x = 269,514,807.71/20,460.78
  6. Step 6: Final answer
    x = 13,172.26

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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.