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Finding the Fourth Proportional to 16,893.59, 23,316.86 and 9,824.09

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Solution

The fourth proportional to 16,893.59, 23,316.86 and 9,824.09 is: 13,559.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,893.59 : 23,316.86 = 9,824.09 : x
  2. Step 2: Convert to fraction form
    16,893.59/23,316.86 = 9,824.09/x
  3. Step 3: Cross multiply
    16,893.59x = 23,316.86 × 9,824.09
  4. Step 4: Simplify right side
    16,893.59x = 229,066,882.04
  5. Step 5: Solve for x
    x = 229,066,882.04/16,893.59
  6. Step 6: Final answer
    x = 13,559.40

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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.