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Finding the Fourth Proportional to 24,570, 36,855 and 7,943.94

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Solution

The fourth proportional to 24,570, 36,855 and 7,943.94 is: 11,915.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,570 : 36,855 = 7,943.94 : x
  2. Step 2: Convert to fraction form
    24,570/36,855 = 7,943.94/x
  3. Step 3: Cross multiply
    24,570x = 36,855 × 7,943.94
  4. Step 4: Simplify right side
    24,570x = 292,773,908.70
  5. Step 5: Solve for x
    x = 292,773,908.70/24,570
  6. Step 6: Final answer
    x = 11,915.91

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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.