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Finding the Fourth Proportional to 17,636.40, 24,338.27 and 9,678.69

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Solution

The fourth proportional to 17,636.40, 24,338.27 and 9,678.69 is: 13,356.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,636.40 : 24,338.27 = 9,678.69 : x
  2. Step 2: Convert to fraction form
    17,636.40/24,338.27 = 9,678.69/x
  3. Step 3: Cross multiply
    17,636.40x = 24,338.27 × 9,678.69
  4. Step 4: Simplify right side
    17,636.40x = 235,562,522.07
  5. Step 5: Solve for x
    x = 235,562,522.07/17,636.40
  6. Step 6: Final answer
    x = 13,356.61

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