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Finding the Fourth Proportional to 22,313.16, 33,458.58 and 9,162

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Solution

The fourth proportional to 22,313.16, 33,458.58 and 9,162 is: 13,738.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,313.16 : 33,458.58 = 9,162 : x
  2. Step 2: Convert to fraction form
    22,313.16/33,458.58 = 9,162/x
  3. Step 3: Cross multiply
    22,313.16x = 33,458.58 × 9,162
  4. Step 4: Simplify right side
    22,313.16x = 306,547,509.96
  5. Step 5: Solve for x
    x = 306,547,509.96/22,313.16
  6. Step 6: Final answer
    x = 13,738.42

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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.