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Finding the Fourth Proportional to 16,007.84, 23,967.12 and 10,735.52

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Solution

The fourth proportional to 16,007.84, 23,967.12 and 10,735.52 is: 16,073.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,007.84 : 23,967.12 = 10,735.52 : x
  2. Step 2: Convert to fraction form
    16,007.84/23,967.12 = 10,735.52/x
  3. Step 3: Cross multiply
    16,007.84x = 23,967.12 × 10,735.52
  4. Step 4: Simplify right side
    16,007.84x = 257,299,496.10
  5. Step 5: Solve for x
    x = 257,299,496.10/16,007.84
  6. Step 6: Final answer
    x = 16,073.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.