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Finding the Fourth Proportional to 21,461.06, 32,191.59 and 6,666

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Solution

The fourth proportional to 21,461.06, 32,191.59 and 6,666 is: 9,999.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,461.06 : 32,191.59 = 6,666 : x
  2. Step 2: Convert to fraction form
    21,461.06/32,191.59 = 6,666/x
  3. Step 3: Cross multiply
    21,461.06x = 32,191.59 × 6,666
  4. Step 4: Simplify right side
    21,461.06x = 214,589,138.94
  5. Step 5: Solve for x
    x = 214,589,138.94/21,461.06
  6. Step 6: Final answer
    x = 9,999.00

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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.