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Finding the Fourth Proportional to 24,802.54, 37,206.18 and 8,162.71

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Solution

The fourth proportional to 24,802.54, 37,206.18 and 8,162.71 is: 12,244.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,802.54 : 37,206.18 = 8,162.71 : x
  2. Step 2: Convert to fraction form
    24,802.54/37,206.18 = 8,162.71/x
  3. Step 3: Cross multiply
    24,802.54x = 37,206.18 × 8,162.71
  4. Step 4: Simplify right side
    24,802.54x = 303,703,257.55
  5. Step 5: Solve for x
    x = 303,703,257.55/24,802.54
  6. Step 6: Final answer
    x = 12,244.84

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1.5x scale

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.