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Finding the Fourth Proportional to 21,887.16, 32,825.88 and 10,194

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Solution

The fourth proportional to 21,887.16, 32,825.88 and 10,194 is: 15,288.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,887.16 : 32,825.88 = 10,194 : x
  2. Step 2: Convert to fraction form
    21,887.16/32,825.88 = 10,194/x
  3. Step 3: Cross multiply
    21,887.16x = 32,825.88 × 10,194
  4. Step 4: Simplify right side
    21,887.16x = 334,627,020.72
  5. Step 5: Solve for x
    x = 334,627,020.72/21,887.16
  6. Step 6: Final answer
    x = 15,288.74

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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.