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Finding the Fourth Proportional to 20,678.66, 30,999.58 and 9,570.10

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Solution

The fourth proportional to 20,678.66, 30,999.58 and 9,570.10 is: 14,346.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,678.66 : 30,999.58 = 9,570.10 : x
  2. Step 2: Convert to fraction form
    20,678.66/30,999.58 = 9,570.10/x
  3. Step 3: Cross multiply
    20,678.66x = 30,999.58 × 9,570.10
  4. Step 4: Simplify right side
    20,678.66x = 296,669,080.56
  5. Step 5: Solve for x
    x = 296,669,080.56/20,678.66
  6. Step 6: Final answer
    x = 14,346.63

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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.