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Finding the Fourth Proportional to 20,059.12, 30,071.40 and 9,678.16

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Solution

The fourth proportional to 20,059.12, 30,071.40 and 9,678.16 is: 14,508.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,059.12 : 30,071.40 = 9,678.16 : x
  2. Step 2: Convert to fraction form
    20,059.12/30,071.40 = 9,678.16/x
  3. Step 3: Cross multiply
    20,059.12x = 30,071.40 × 9,678.16
  4. Step 4: Simplify right side
    20,059.12x = 291,035,820.62
  5. Step 5: Solve for x
    x = 291,035,820.62/20,059.12
  6. Step 6: Final answer
    x = 14,508.90

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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.