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Finding the Fourth Proportional to 16,137.02, 24,215 and 6,776.32

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Solution

The fourth proportional to 16,137.02, 24,215 and 6,776.32 is: 10,168.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,137.02 : 24,215 = 6,776.32 : x
  2. Step 2: Convert to fraction form
    16,137.02/24,215 = 6,776.32/x
  3. Step 3: Cross multiply
    16,137.02x = 24,215 × 6,776.32
  4. Step 4: Simplify right side
    16,137.02x = 164,088,588.80
  5. Step 5: Solve for x
    x = 164,088,588.80/16,137.02
  6. Step 6: Final answer
    x = 10,168.46

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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.