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Finding the Fourth Proportional to 19,566.36, 26,992.44 and 11,178

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Solution

The fourth proportional to 19,566.36, 26,992.44 and 11,178 is: 15,420.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,566.36 : 26,992.44 = 11,178 : x
  2. Step 2: Convert to fraction form
    19,566.36/26,992.44 = 11,178/x
  3. Step 3: Cross multiply
    19,566.36x = 26,992.44 × 11,178
  4. Step 4: Simplify right side
    19,566.36x = 301,721,494.32
  5. Step 5: Solve for x
    x = 301,721,494.32/19,566.36
  6. Step 6: Final answer
    x = 15,420.42

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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.