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Finding the Fourth Proportional to 21,341.56, 32,009.94 and 8,184.70

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Solution

The fourth proportional to 21,341.56, 32,009.94 and 8,184.70 is: 12,276.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,341.56 : 32,009.94 = 8,184.70 : x
  2. Step 2: Convert to fraction form
    21,341.56/32,009.94 = 8,184.70/x
  3. Step 3: Cross multiply
    21,341.56x = 32,009.94 × 8,184.70
  4. Step 4: Simplify right side
    21,341.56x = 261,991,675.89
  5. Step 5: Solve for x
    x = 261,991,675.89/21,341.56
  6. Step 6: Final answer
    x = 12,276.13

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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.