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Finding the Fourth Proportional to 16,735.62, 23,097.08 and 10,021.23

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Solution

The fourth proportional to 16,735.62, 23,097.08 and 10,021.23 is: 13,830.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,735.62 : 23,097.08 = 10,021.23 : x
  2. Step 2: Convert to fraction form
    16,735.62/23,097.08 = 10,021.23/x
  3. Step 3: Cross multiply
    16,735.62x = 23,097.08 × 10,021.23
  4. Step 4: Simplify right side
    16,735.62x = 231,461,100.90
  5. Step 5: Solve for x
    x = 231,461,100.90/16,735.62
  6. Step 6: Final answer
    x = 13,830.45

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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.