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Finding the Fourth Proportional to 24,423.84, 36,640.62 and 7,783.34

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Solution

The fourth proportional to 24,423.84, 36,640.62 and 7,783.34 is: 11,676.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,423.84 : 36,640.62 = 7,783.34 : x
  2. Step 2: Convert to fraction form
    24,423.84/36,640.62 = 7,783.34/x
  3. Step 3: Cross multiply
    24,423.84x = 36,640.62 × 7,783.34
  4. Step 4: Simplify right side
    24,423.84x = 285,186,220.07
  5. Step 5: Solve for x
    x = 285,186,220.07/24,423.84
  6. Step 6: Final answer
    x = 11,676.55

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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.