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Finding the Fourth Proportional to 24,424.52, 36,639.43 and 7,780.64

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Solution

The fourth proportional to 24,424.52, 36,639.43 and 7,780.64 is: 11,671.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,424.52 : 36,639.43 = 7,780.64 : x
  2. Step 2: Convert to fraction form
    24,424.52/36,639.43 = 7,780.64/x
  3. Step 3: Cross multiply
    24,424.52x = 36,639.43 × 7,780.64
  4. Step 4: Simplify right side
    24,424.52x = 285,078,011.99
  5. Step 5: Solve for x
    x = 285,078,011.99/24,424.52
  6. Step 6: Final answer
    x = 11,671.80

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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.