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Finding the Fourth Proportional to 16,302.41, 24,453.61 and 8,509.40

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Solution

The fourth proportional to 16,302.41, 24,453.61 and 8,509.40 is: 12,764.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,302.41 : 24,453.61 = 8,509.40 : x
  2. Step 2: Convert to fraction form
    16,302.41/24,453.61 = 8,509.40/x
  3. Step 3: Cross multiply
    16,302.41x = 24,453.61 × 8,509.40
  4. Step 4: Simplify right side
    16,302.41x = 208,085,405.39
  5. Step 5: Solve for x
    x = 208,085,405.39/16,302.41
  6. Step 6: Final answer
    x = 12,764.09

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1.5x scale

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.