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Finding the Fourth Proportional to 19,825.92, 27,360 and 11,445.12

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Solution

The fourth proportional to 19,825.92, 27,360 and 11,445.12 is: 15,794.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,825.92 : 27,360 = 11,445.12 : x
  2. Step 2: Convert to fraction form
    19,825.92/27,360 = 11,445.12/x
  3. Step 3: Cross multiply
    19,825.92x = 27,360 × 11,445.12
  4. Step 4: Simplify right side
    19,825.92x = 313,138,483.20
  5. Step 5: Solve for x
    x = 313,138,483.20/19,825.92
  6. Step 6: Final answer
    x = 15,794.40

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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.