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Finding the Fourth Proportional to 16,465.74, 24,698.52 and 6,597.96

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Solution

The fourth proportional to 16,465.74, 24,698.52 and 6,597.96 is: 9,896.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,465.74 : 24,698.52 = 6,597.96 : x
  2. Step 2: Convert to fraction form
    16,465.74/24,698.52 = 6,597.96/x
  3. Step 3: Cross multiply
    16,465.74x = 24,698.52 × 6,597.96
  4. Step 4: Simplify right side
    16,465.74x = 162,959,847.02
  5. Step 5: Solve for x
    x = 162,959,847.02/16,465.74
  6. Step 6: Final answer
    x = 9,896.90

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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.