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Finding the Fourth Proportional to 13,322.67, 18,384.69 and 7,653.43

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Solution

The fourth proportional to 13,322.67, 18,384.69 and 7,653.43 is: 10,561.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,322.67 : 18,384.69 = 7,653.43 : x
  2. Step 2: Convert to fraction form
    13,322.67/18,384.69 = 7,653.43/x
  3. Step 3: Cross multiply
    13,322.67x = 18,384.69 × 7,653.43
  4. Step 4: Simplify right side
    13,322.67x = 140,705,937.99
  5. Step 5: Solve for x
    x = 140,705,937.99/13,322.67
  6. Step 6: Final answer
    x = 10,561.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.