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Finding the Fourth Proportional to 21,042.24, 31,556.88 and 7,188

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Solution

The fourth proportional to 21,042.24, 31,556.88 and 7,188 is: 10,779.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,042.24 : 31,556.88 = 7,188 : x
  2. Step 2: Convert to fraction form
    21,042.24/31,556.88 = 7,188/x
  3. Step 3: Cross multiply
    21,042.24x = 31,556.88 × 7,188
  4. Step 4: Simplify right side
    21,042.24x = 226,830,853.44
  5. Step 5: Solve for x
    x = 226,830,853.44/21,042.24
  6. Step 6: Final answer
    x = 10,779.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.