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Finding the Fourth Proportional to 20,059.32, 30,108.42 and 9,678.36

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Solution

The fourth proportional to 20,059.32, 30,108.42 and 9,678.36 is: 14,526.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,059.32 : 30,108.42 = 9,678.36 : x
  2. Step 2: Convert to fraction form
    20,059.32/30,108.42 = 9,678.36/x
  3. Step 3: Cross multiply
    20,059.32x = 30,108.42 × 9,678.36
  4. Step 4: Simplify right side
    20,059.32x = 291,400,127.79
  5. Step 5: Solve for x
    x = 291,400,127.79/20,059.32
  6. Step 6: Final answer
    x = 14,526.92

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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.