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Finding the Fourth Proportional to 16,404.69, 22,636.44 and 9,233.73

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Solution

The fourth proportional to 16,404.69, 22,636.44 and 9,233.73 is: 12,741.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,404.69 : 22,636.44 = 9,233.73 : x
  2. Step 2: Convert to fraction form
    16,404.69/22,636.44 = 9,233.73/x
  3. Step 3: Cross multiply
    16,404.69x = 22,636.44 × 9,233.73
  4. Step 4: Simplify right side
    16,404.69x = 209,018,775.12
  5. Step 5: Solve for x
    x = 209,018,775.12/16,404.69
  6. Step 6: Final answer
    x = 12,741.40

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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.