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Finding the Fourth Proportional to 19,782.38, 27,304.14 and 12,236.02

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Solution

The fourth proportional to 19,782.38, 27,304.14 and 12,236.02 is: 16,888.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,782.38 : 27,304.14 = 12,236.02 : x
  2. Step 2: Convert to fraction form
    19,782.38/27,304.14 = 12,236.02/x
  3. Step 3: Cross multiply
    19,782.38x = 27,304.14 × 12,236.02
  4. Step 4: Simplify right side
    19,782.38x = 334,094,003.12
  5. Step 5: Solve for x
    x = 334,094,003.12/19,782.38
  6. Step 6: Final answer
    x = 16,888.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.