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Finding the Fourth Proportional to 16,426, 22,668.69 and 9,353.08

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Solution

The fourth proportional to 16,426, 22,668.69 and 9,353.08 is: 12,907.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,426 : 22,668.69 = 9,353.08 : x
  2. Step 2: Convert to fraction form
    16,426/22,668.69 = 9,353.08/x
  3. Step 3: Cross multiply
    16,426x = 22,668.69 × 9,353.08
  4. Step 4: Simplify right side
    16,426x = 212,022,071.07
  5. Step 5: Solve for x
    x = 212,022,071.07/16,426
  6. Step 6: Final answer
    x = 12,907.71

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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.