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Finding the Fourth Proportional to 23,007.28, 34,505.22 and 9,858.16

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Solution

The fourth proportional to 23,007.28, 34,505.22 and 9,858.16 is: 14,784.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,007.28 : 34,505.22 = 9,858.16 : x
  2. Step 2: Convert to fraction form
    23,007.28/34,505.22 = 9,858.16/x
  3. Step 3: Cross multiply
    23,007.28x = 34,505.22 × 9,858.16
  4. Step 4: Simplify right side
    23,007.28x = 340,157,979.60
  5. Step 5: Solve for x
    x = 340,157,979.60/23,007.28
  6. Step 6: Final answer
    x = 14,784.80

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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.