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Finding the Fourth Proportional to 21,708.62, 32,564.18 and 8,381.68

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Solution

The fourth proportional to 21,708.62, 32,564.18 and 8,381.68 is: 12,573.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,708.62 : 32,564.18 = 8,381.68 : x
  2. Step 2: Convert to fraction form
    21,708.62/32,564.18 = 8,381.68/x
  3. Step 3: Cross multiply
    21,708.62x = 32,564.18 × 8,381.68
  4. Step 4: Simplify right side
    21,708.62x = 272,942,536.22
  5. Step 5: Solve for x
    x = 272,942,536.22/21,708.62
  6. Step 6: Final answer
    x = 12,573.00

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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.