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Finding the Fourth Proportional to 16,291.93, 22,484.76 and 9,922.26

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Solution

The fourth proportional to 16,291.93, 22,484.76 and 9,922.26 is: 13,693.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,291.93 : 22,484.76 = 9,922.26 : x
  2. Step 2: Convert to fraction form
    16,291.93/22,484.76 = 9,922.26/x
  3. Step 3: Cross multiply
    16,291.93x = 22,484.76 × 9,922.26
  4. Step 4: Simplify right side
    16,291.93x = 223,099,497.53
  5. Step 5: Solve for x
    x = 223,099,497.53/16,291.93
  6. Step 6: Final answer
    x = 13,693.87

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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.