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Finding the Fourth Proportional to 23,142.70, 34,705.67 and 8,347.64

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Solution

The fourth proportional to 23,142.70, 34,705.67 and 8,347.64 is: 12,518.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,142.70 : 34,705.67 = 8,347.64 : x
  2. Step 2: Convert to fraction form
    23,142.70/34,705.67 = 8,347.64/x
  3. Step 3: Cross multiply
    23,142.70x = 34,705.67 × 8,347.64
  4. Step 4: Simplify right side
    23,142.70x = 289,710,397.38
  5. Step 5: Solve for x
    x = 289,710,397.38/23,142.70
  6. Step 6: Final answer
    x = 12,518.44

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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.