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Finding the Fourth Proportional to 24,424.60, 36,636.22 and 7,785.63

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Solution

The fourth proportional to 24,424.60, 36,636.22 and 7,785.63 is: 11,678.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,424.60 : 36,636.22 = 7,785.63 : x
  2. Step 2: Convert to fraction form
    24,424.60/36,636.22 = 7,785.63/x
  3. Step 3: Cross multiply
    24,424.60x = 36,636.22 × 7,785.63
  4. Step 4: Simplify right side
    24,424.60x = 285,236,014.59
  5. Step 5: Solve for x
    x = 285,236,014.59/24,424.60
  6. Step 6: Final answer
    x = 11,678.23

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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.