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Finding the Fourth Proportional to 24,706.84, 37,080.24 and 19,147

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Solution

The fourth proportional to 24,706.84, 37,080.24 and 19,147 is: 28,735.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,706.84 : 37,080.24 = 19,147 : x
  2. Step 2: Convert to fraction form
    24,706.84/37,080.24 = 19,147/x
  3. Step 3: Cross multiply
    24,706.84x = 37,080.24 × 19,147
  4. Step 4: Simplify right side
    24,706.84x = 709,975,355.28
  5. Step 5: Solve for x
    x = 709,975,355.28/24,706.84
  6. Step 6: Final answer
    x = 28,735.98

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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.