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Finding the Fourth Proportional to 19,441.12, 26,825.70 and 11,056

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Solution

The fourth proportional to 19,441.12, 26,825.70 and 11,056 is: 15,255.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,441.12 : 26,825.70 = 11,056 : x
  2. Step 2: Convert to fraction form
    19,441.12/26,825.70 = 11,056/x
  3. Step 3: Cross multiply
    19,441.12x = 26,825.70 × 11,056
  4. Step 4: Simplify right side
    19,441.12x = 296,584,939.20
  5. Step 5: Solve for x
    x = 296,584,939.20/19,441.12
  6. Step 6: Final answer
    x = 15,255.55

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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.