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Finding the Fourth Proportional to 16,195.88, 24,293.80 and 4,509.40

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Solution

The fourth proportional to 16,195.88, 24,293.80 and 4,509.40 is: 6,764.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,195.88 : 24,293.80 = 4,509.40 : x
  2. Step 2: Convert to fraction form
    16,195.88/24,293.80 = 4,509.40/x
  3. Step 3: Cross multiply
    16,195.88x = 24,293.80 × 4,509.40
  4. Step 4: Simplify right side
    16,195.88x = 109,550,461.72
  5. Step 5: Solve for x
    x = 109,550,461.72/16,195.88
  6. Step 6: Final answer
    x = 6,764.09

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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.