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Finding the Fourth Proportional to 16,347.02, 24,512.02 and 8,028.60

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Solution

The fourth proportional to 16,347.02, 24,512.02 and 8,028.60 is: 12,038.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,347.02 : 24,512.02 = 8,028.60 : x
  2. Step 2: Convert to fraction form
    16,347.02/24,512.02 = 8,028.60/x
  3. Step 3: Cross multiply
    16,347.02x = 24,512.02 × 8,028.60
  4. Step 4: Simplify right side
    16,347.02x = 196,797,203.77
  5. Step 5: Solve for x
    x = 196,797,203.77/16,347.02
  6. Step 6: Final answer
    x = 12,038.72

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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.