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Finding the Fourth Proportional to 20,156.70, 30,235.05 and 6,116.70

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Solution

The fourth proportional to 20,156.70, 30,235.05 and 6,116.70 is: 9,175.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,156.70 : 30,235.05 = 6,116.70 : x
  2. Step 2: Convert to fraction form
    20,156.70/30,235.05 = 6,116.70/x
  3. Step 3: Cross multiply
    20,156.70x = 30,235.05 × 6,116.70
  4. Step 4: Simplify right side
    20,156.70x = 184,938,730.34
  5. Step 5: Solve for x
    x = 184,938,730.34/20,156.70
  6. Step 6: Final answer
    x = 9,175.05

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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.