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Finding the Fourth Proportional to 21,344.68, 32,006.94 and 12,580.84

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Solution

The fourth proportional to 21,344.68, 32,006.94 and 12,580.84 is: 18,865.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,344.68 : 32,006.94 = 12,580.84 : x
  2. Step 2: Convert to fraction form
    21,344.68/32,006.94 = 12,580.84/x
  3. Step 3: Cross multiply
    21,344.68x = 32,006.94 × 12,580.84
  4. Step 4: Simplify right side
    21,344.68x = 402,674,191.03
  5. Step 5: Solve for x
    x = 402,674,191.03/21,344.68
  6. Step 6: Final answer
    x = 18,865.32

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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.