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Finding the Fourth Proportional to 21,147.88, 31,668.24 and 12,709.36

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Solution

The fourth proportional to 21,147.88, 31,668.24 and 12,709.36 is: 19,031.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,147.88 : 31,668.24 = 12,709.36 : x
  2. Step 2: Convert to fraction form
    21,147.88/31,668.24 = 12,709.36/x
  3. Step 3: Cross multiply
    21,147.88x = 31,668.24 × 12,709.36
  4. Step 4: Simplify right side
    21,147.88x = 402,483,062.73
  5. Step 5: Solve for x
    x = 402,483,062.73/21,147.88
  6. Step 6: Final answer
    x = 19,031.84

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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.