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Finding the Fourth Proportional to 16,302.53, 24,453.80 and 8,509.52

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Solution

The fourth proportional to 16,302.53, 24,453.80 and 8,509.52 is: 12,764.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,302.53 : 24,453.80 = 8,509.52 : x
  2. Step 2: Convert to fraction form
    16,302.53/24,453.80 = 8,509.52/x
  3. Step 3: Cross multiply
    16,302.53x = 24,453.80 × 8,509.52
  4. Step 4: Simplify right side
    16,302.53x = 208,090,057.63
  5. Step 5: Solve for x
    x = 208,090,057.63/16,302.53
  6. Step 6: Final answer
    x = 12,764.28

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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.