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Finding the Fourth Proportional to 24,701, 37,057.14 and 7,172.24

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Solution

The fourth proportional to 24,701, 37,057.14 and 7,172.24 is: 10,760.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,701 : 37,057.14 = 7,172.24 : x
  2. Step 2: Convert to fraction form
    24,701/37,057.14 = 7,172.24/x
  3. Step 3: Cross multiply
    24,701x = 37,057.14 × 7,172.24
  4. Step 4: Simplify right side
    24,701x = 265,782,701.79
  5. Step 5: Solve for x
    x = 265,782,701.79/24,701
  6. Step 6: Final answer
    x = 10,760.00

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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.