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Finding the Fourth Proportional to 16,889.96, 23,307.77 and 9,336

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Solution

The fourth proportional to 16,889.96, 23,307.77 and 9,336 is: 12,883.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,889.96 : 23,307.77 = 9,336 : x
  2. Step 2: Convert to fraction form
    16,889.96/23,307.77 = 9,336/x
  3. Step 3: Cross multiply
    16,889.96x = 23,307.77 × 9,336
  4. Step 4: Simplify right side
    16,889.96x = 217,601,364.06
  5. Step 5: Solve for x
    x = 217,601,364.06/16,889.96
  6. Step 6: Final answer
    x = 12,883.47

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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.