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Finding the Fourth Proportional to 24,930, 37,396.64 and 9,348.03

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Solution

The fourth proportional to 24,930, 37,396.64 and 9,348.03 is: 14,022.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,930 : 37,396.64 = 9,348.03 : x
  2. Step 2: Convert to fraction form
    24,930/37,396.64 = 9,348.03/x
  3. Step 3: Cross multiply
    24,930x = 37,396.64 × 9,348.03
  4. Step 4: Simplify right side
    24,930x = 349,584,935.99
  5. Step 5: Solve for x
    x = 349,584,935.99/24,930
  6. Step 6: Final answer
    x = 14,022.66

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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.