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Finding the Fourth Proportional to 16,302.16, 24,453.24 and 8,509.15

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Solution

The fourth proportional to 16,302.16, 24,453.24 and 8,509.15 is: 12,763.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,302.16 : 24,453.24 = 8,509.15 : x
  2. Step 2: Convert to fraction form
    16,302.16/24,453.24 = 8,509.15/x
  3. Step 3: Cross multiply
    16,302.16x = 24,453.24 × 8,509.15
  4. Step 4: Simplify right side
    16,302.16x = 208,076,122.33
  5. Step 5: Solve for x
    x = 208,076,122.33/16,302.16
  6. Step 6: Final answer
    x = 12,763.72

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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.