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Finding the Fourth Proportional to 21,676.80, 32,517.12 and 9,023.76

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Solution

The fourth proportional to 21,676.80, 32,517.12 and 9,023.76 is: 13,536.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,676.80 : 32,517.12 = 9,023.76 : x
  2. Step 2: Convert to fraction form
    21,676.80/32,517.12 = 9,023.76/x
  3. Step 3: Cross multiply
    21,676.80x = 32,517.12 × 9,023.76
  4. Step 4: Simplify right side
    21,676.80x = 293,426,686.77
  5. Step 5: Solve for x
    x = 293,426,686.77/21,676.80
  6. Step 6: Final answer
    x = 13,536.44

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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.