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Finding the Fourth Proportional to 16,204.88, 24,302.28 and 6,341.44

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Solution

The fourth proportional to 16,204.88, 24,302.28 and 6,341.44 is: 9,510.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,204.88 : 24,302.28 = 6,341.44 : x
  2. Step 2: Convert to fraction form
    16,204.88/24,302.28 = 6,341.44/x
  3. Step 3: Cross multiply
    16,204.88x = 24,302.28 × 6,341.44
  4. Step 4: Simplify right side
    16,204.88x = 154,111,450.48
  5. Step 5: Solve for x
    x = 154,111,450.48/16,204.88
  6. Step 6: Final answer
    x = 9,510.19

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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.