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Finding the Fourth Proportional to 23,419.23, 35,142.68 and 8,638.47

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Solution

The fourth proportional to 23,419.23, 35,142.68 and 8,638.47 is: 12,962.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,419.23 : 35,142.68 = 8,638.47 : x
  2. Step 2: Convert to fraction form
    23,419.23/35,142.68 = 8,638.47/x
  3. Step 3: Cross multiply
    23,419.23x = 35,142.68 × 8,638.47
  4. Step 4: Simplify right side
    23,419.23x = 303,578,943.71
  5. Step 5: Solve for x
    x = 303,578,943.71/23,419.23
  6. Step 6: Final answer
    x = 12,962.81

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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.