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Finding the Fourth Proportional to 16,330.82, 22,536.09 and 9,257.22

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Solution

The fourth proportional to 16,330.82, 22,536.09 and 9,257.22 is: 12,774.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,330.82 : 22,536.09 = 9,257.22 : x
  2. Step 2: Convert to fraction form
    16,330.82/22,536.09 = 9,257.22/x
  3. Step 3: Cross multiply
    16,330.82x = 22,536.09 × 9,257.22
  4. Step 4: Simplify right side
    16,330.82x = 208,621,543.07
  5. Step 5: Solve for x
    x = 208,621,543.07/16,330.82
  6. Step 6: Final answer
    x = 12,774.72

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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.