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Finding the Fourth Proportional to 19,650, 27,119.75 and 12,591.46

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Solution

The fourth proportional to 19,650, 27,119.75 and 12,591.46 is: 17,377.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,650 : 27,119.75 = 12,591.46 : x
  2. Step 2: Convert to fraction form
    19,650/27,119.75 = 12,591.46/x
  3. Step 3: Cross multiply
    19,650x = 27,119.75 × 12,591.46
  4. Step 4: Simplify right side
    19,650x = 341,477,247.34
  5. Step 5: Solve for x
    x = 341,477,247.34/19,650
  6. Step 6: Final answer
    x = 17,377.98

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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.