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Finding the Fourth Proportional to 22,714.75, 34,072.43 and 7,132.38

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Solution

The fourth proportional to 22,714.75, 34,072.43 and 7,132.38 is: 10,698.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,714.75 : 34,072.43 = 7,132.38 : x
  2. Step 2: Convert to fraction form
    22,714.75/34,072.43 = 7,132.38/x
  3. Step 3: Cross multiply
    22,714.75x = 34,072.43 × 7,132.38
  4. Step 4: Simplify right side
    22,714.75x = 243,017,518.28
  5. Step 5: Solve for x
    x = 243,017,518.28/22,714.75
  6. Step 6: Final answer
    x = 10,698.67

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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.