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Finding the Fourth Proportional to 16,735.68, 23,089.86 and 10,022.40

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Solution

The fourth proportional to 16,735.68, 23,089.86 and 10,022.40 is: 13,827.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,735.68 : 23,089.86 = 10,022.40 : x
  2. Step 2: Convert to fraction form
    16,735.68/23,089.86 = 10,022.40/x
  3. Step 3: Cross multiply
    16,735.68x = 23,089.86 × 10,022.40
  4. Step 4: Simplify right side
    16,735.68x = 231,415,812.86
  5. Step 5: Solve for x
    x = 231,415,812.86/16,735.68
  6. Step 6: Final answer
    x = 13,827.69

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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.