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Finding the Fourth Proportional to 16,421.28, 22,664.82 and 9,619.74

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Solution

The fourth proportional to 16,421.28, 22,664.82 and 9,619.74 is: 13,277.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,421.28 : 22,664.82 = 9,619.74 : x
  2. Step 2: Convert to fraction form
    16,421.28/22,664.82 = 9,619.74/x
  3. Step 3: Cross multiply
    16,421.28x = 22,664.82 × 9,619.74
  4. Step 4: Simplify right side
    16,421.28x = 218,029,675.55
  5. Step 5: Solve for x
    x = 218,029,675.55/16,421.28
  6. Step 6: Final answer
    x = 13,277.26

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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.