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Finding the Fourth Proportional to 24,634.68, 36,946.62 and 7,100.70

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Solution

The fourth proportional to 24,634.68, 36,946.62 and 7,100.70 is: 10,649.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,634.68 : 36,946.62 = 7,100.70 : x
  2. Step 2: Convert to fraction form
    24,634.68/36,946.62 = 7,100.70/x
  3. Step 3: Cross multiply
    24,634.68x = 36,946.62 × 7,100.70
  4. Step 4: Simplify right side
    24,634.68x = 262,346,864.63
  5. Step 5: Solve for x
    x = 262,346,864.63/24,634.68
  6. Step 6: Final answer
    x = 10,649.49

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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.