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Finding the Fourth Proportional to 19,968, 27,555.84 and 11,589.12

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Solution

The fourth proportional to 19,968, 27,555.84 and 11,589.12 is: 15,992.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,968 : 27,555.84 = 11,589.12 : x
  2. Step 2: Convert to fraction form
    19,968/27,555.84 = 11,589.12/x
  3. Step 3: Cross multiply
    19,968x = 27,555.84 × 11,589.12
  4. Step 4: Simplify right side
    19,968x = 319,347,936.46
  5. Step 5: Solve for x
    x = 319,347,936.46/19,968
  6. Step 6: Final answer
    x = 15,992.99

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1.5x scale

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.