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Finding the Fourth Proportional to 18,317.68, 27,476.46 and 9,569.68

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Solution

The fourth proportional to 18,317.68, 27,476.46 and 9,569.68 is: 14,354.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,317.68 : 27,476.46 = 9,569.68 : x
  2. Step 2: Convert to fraction form
    18,317.68/27,476.46 = 9,569.68/x
  3. Step 3: Cross multiply
    18,317.68x = 27,476.46 × 9,569.68
  4. Step 4: Simplify right side
    18,317.68x = 262,940,929.73
  5. Step 5: Solve for x
    x = 262,940,929.73/18,317.68
  6. Step 6: Final answer
    x = 14,354.49

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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.