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Finding the Fourth Proportional to 19,770.64, 27,283.56 and 12,697.12

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Solution

The fourth proportional to 19,770.64, 27,283.56 and 12,697.12 is: 17,522.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,770.64 : 27,283.56 = 12,697.12 : x
  2. Step 2: Convert to fraction form
    19,770.64/27,283.56 = 12,697.12/x
  3. Step 3: Cross multiply
    19,770.64x = 27,283.56 × 12,697.12
  4. Step 4: Simplify right side
    19,770.64x = 346,422,635.35
  5. Step 5: Solve for x
    x = 346,422,635.35/19,770.64
  6. Step 6: Final answer
    x = 17,522.07

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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.