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Finding the Fourth Proportional to 23,423.02, 35,126.07 and 7,837

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Solution

The fourth proportional to 23,423.02, 35,126.07 and 7,837 is: 11,752.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,423.02 : 35,126.07 = 7,837 : x
  2. Step 2: Convert to fraction form
    23,423.02/35,126.07 = 7,837/x
  3. Step 3: Cross multiply
    23,423.02x = 35,126.07 × 7,837
  4. Step 4: Simplify right side
    23,423.02x = 275,283,010.59
  5. Step 5: Solve for x
    x = 275,283,010.59/23,423.02
  6. Step 6: Final answer
    x = 11,752.67

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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.