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Finding the Fourth Proportional to 16,205.31, 24,307.15 and 6,346.40

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Solution

The fourth proportional to 16,205.31, 24,307.15 and 6,346.40 is: 9,519.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,205.31 : 24,307.15 = 6,346.40 : x
  2. Step 2: Convert to fraction form
    16,205.31/24,307.15 = 6,346.40/x
  3. Step 3: Cross multiply
    16,205.31x = 24,307.15 × 6,346.40
  4. Step 4: Simplify right side
    16,205.31x = 154,262,896.76
  5. Step 5: Solve for x
    x = 154,262,896.76/16,205.31
  6. Step 6: Final answer
    x = 9,519.28

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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.