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Finding the Fourth Proportional to 21,091.30, 31,643.53 and 6,300.80

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Solution

The fourth proportional to 21,091.30, 31,643.53 and 6,300.80 is: 9,453.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,091.30 : 31,643.53 = 6,300.80 : x
  2. Step 2: Convert to fraction form
    21,091.30/31,643.53 = 6,300.80/x
  3. Step 3: Cross multiply
    21,091.30x = 31,643.53 × 6,300.80
  4. Step 4: Simplify right side
    21,091.30x = 199,379,498.52
  5. Step 5: Solve for x
    x = 199,379,498.52/21,091.30
  6. Step 6: Final answer
    x = 9,453.16

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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.