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Finding the Fourth Proportional to 16,574.22, 24,863.76 and 9,558

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Solution

The fourth proportional to 16,574.22, 24,863.76 and 9,558 is: 14,338.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,574.22 : 24,863.76 = 9,558 : x
  2. Step 2: Convert to fraction form
    16,574.22/24,863.76 = 9,558/x
  3. Step 3: Cross multiply
    16,574.22x = 24,863.76 × 9,558
  4. Step 4: Simplify right side
    16,574.22x = 237,647,818.08
  5. Step 5: Solve for x
    x = 237,647,818.08/16,574.22
  6. Step 6: Final answer
    x = 14,338.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.