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Finding the Fourth Proportional to 16,421.09, 22,661.24 and 9,347.96

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Solution

The fourth proportional to 16,421.09, 22,661.24 and 9,347.96 is: 12,900.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,421.09 : 22,661.24 = 9,347.96 : x
  2. Step 2: Convert to fraction form
    16,421.09/22,661.24 = 9,347.96/x
  3. Step 3: Cross multiply
    16,421.09x = 22,661.24 × 9,347.96
  4. Step 4: Simplify right side
    16,421.09x = 211,836,365.07
  5. Step 5: Solve for x
    x = 211,836,365.07/16,421.09
  6. Step 6: Final answer
    x = 12,900.26

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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.