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Finding the Fourth Proportional to 23,695, 35,532.14 and 12,599

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Solution

The fourth proportional to 23,695, 35,532.14 and 12,599 is: 18,892.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,695 : 35,532.14 = 12,599 : x
  2. Step 2: Convert to fraction form
    23,695/35,532.14 = 12,599/x
  3. Step 3: Cross multiply
    23,695x = 35,532.14 × 12,599
  4. Step 4: Simplify right side
    23,695x = 447,669,431.86
  5. Step 5: Solve for x
    x = 447,669,431.86/23,695
  6. Step 6: Final answer
    x = 18,892.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.