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Finding the Fourth Proportional to 19,968, 27,566.64 and 12,012

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Solution

The fourth proportional to 19,968, 27,566.64 and 12,012 is: 16,583.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,968 : 27,566.64 = 12,012 : x
  2. Step 2: Convert to fraction form
    19,968/27,566.64 = 12,012/x
  3. Step 3: Cross multiply
    19,968x = 27,566.64 × 12,012
  4. Step 4: Simplify right side
    19,968x = 331,130,479.68
  5. Step 5: Solve for x
    x = 331,130,479.68/19,968
  6. Step 6: Final answer
    x = 16,583.06

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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.