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Finding the Fourth Proportional to 19,782.64, 27,300 and 11,824.48

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Solution

The fourth proportional to 19,782.64, 27,300 and 11,824.48 is: 16,317.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,782.64 : 27,300 = 11,824.48 : x
  2. Step 2: Convert to fraction form
    19,782.64/27,300 = 11,824.48/x
  3. Step 3: Cross multiply
    19,782.64x = 27,300 × 11,824.48
  4. Step 4: Simplify right side
    19,782.64x = 322,808,304
  5. Step 5: Solve for x
    x = 322,808,304/19,782.64
  6. Step 6: Final answer
    x = 16,317.76

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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.