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Finding the Fourth Proportional to 16,161.63, 22,302.86 and 9,089.25

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Solution

The fourth proportional to 16,161.63, 22,302.86 and 9,089.25 is: 12,543.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,161.63 : 22,302.86 = 9,089.25 : x
  2. Step 2: Convert to fraction form
    16,161.63/22,302.86 = 9,089.25/x
  3. Step 3: Cross multiply
    16,161.63x = 22,302.86 × 9,089.25
  4. Step 4: Simplify right side
    16,161.63x = 202,716,224.81
  5. Step 5: Solve for x
    x = 202,716,224.81/16,161.63
  6. Step 6: Final answer
    x = 12,543.06

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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.