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Finding the Fourth Proportional to 21,308.40, 31,959.80 and 6,518.80

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Solution

The fourth proportional to 21,308.40, 31,959.80 and 6,518.80 is: 9,777.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,308.40 : 31,959.80 = 6,518.80 : x
  2. Step 2: Convert to fraction form
    21,308.40/31,959.80 = 6,518.80/x
  3. Step 3: Cross multiply
    21,308.40x = 31,959.80 × 6,518.80
  4. Step 4: Simplify right side
    21,308.40x = 208,339,544.24
  5. Step 5: Solve for x
    x = 208,339,544.24/21,308.40
  6. Step 6: Final answer
    x = 9,777.34

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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.