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Finding the Fourth Proportional to 22,670.40, 34,000.68 and 7,086

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Solution

The fourth proportional to 22,670.40, 34,000.68 and 7,086 is: 10,627.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,670.40 : 34,000.68 = 7,086 : x
  2. Step 2: Convert to fraction form
    22,670.40/34,000.68 = 7,086/x
  3. Step 3: Cross multiply
    22,670.40x = 34,000.68 × 7,086
  4. Step 4: Simplify right side
    22,670.40x = 240,928,818.48
  5. Step 5: Solve for x
    x = 240,928,818.48/22,670.40
  6. Step 6: Final answer
    x = 10,627.46

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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.