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Finding the Fourth Proportional to 17,238, 23,787.32 and 10,164.08

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Solution

The fourth proportional to 17,238, 23,787.32 and 10,164.08 is: 14,025.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,238 : 23,787.32 = 10,164.08 : x
  2. Step 2: Convert to fraction form
    17,238/23,787.32 = 10,164.08/x
  3. Step 3: Cross multiply
    17,238x = 23,787.32 × 10,164.08
  4. Step 4: Simplify right side
    17,238x = 241,776,223.47
  5. Step 5: Solve for x
    x = 241,776,223.47/17,238
  6. Step 6: Final answer
    x = 14,025.77

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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.