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Finding the Fourth Proportional to 19,232, 26,540.16 and 10,400

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Solution

The fourth proportional to 19,232, 26,540.16 and 10,400 is: 14,352

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,232 : 26,540.16 = 10,400 : x
  2. Step 2: Convert to fraction form
    19,232/26,540.16 = 10,400/x
  3. Step 3: Cross multiply
    19,232x = 26,540.16 × 10,400
  4. Step 4: Simplify right side
    19,232x = 276,017,664
  5. Step 5: Solve for x
    x = 276,017,664/19,232
  6. Step 6: Final answer
    x = 14,352

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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.