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Finding the Fourth Proportional to 20,172.35, 30,258.27 and 9,071.20

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Solution

The fourth proportional to 20,172.35, 30,258.27 and 9,071.20 is: 13,606.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,172.35 : 30,258.27 = 9,071.20 : x
  2. Step 2: Convert to fraction form
    20,172.35/30,258.27 = 9,071.20/x
  3. Step 3: Cross multiply
    20,172.35x = 30,258.27 × 9,071.20
  4. Step 4: Simplify right side
    20,172.35x = 274,478,818.82
  5. Step 5: Solve for x
    x = 274,478,818.82/20,172.35
  6. Step 6: Final answer
    x = 13,606.69

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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.