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Finding the Fourth Proportional to 16,448.97, 22,698.20 and 9,733.43

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Solution

The fourth proportional to 16,448.97, 22,698.20 and 9,733.43 is: 13,431.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,448.97 : 22,698.20 = 9,733.43 : x
  2. Step 2: Convert to fraction form
    16,448.97/22,698.20 = 9,733.43/x
  3. Step 3: Cross multiply
    16,448.97x = 22,698.20 × 9,733.43
  4. Step 4: Simplify right side
    16,448.97x = 220,931,421.91
  5. Step 5: Solve for x
    x = 220,931,421.91/16,448.97
  6. Step 6: Final answer
    x = 13,431.32

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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.