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Finding the Fourth Proportional to 16,492.24, 24,738 and 4,012.32

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Solution

The fourth proportional to 16,492.24, 24,738 and 4,012.32 is: 6,018.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,492.24 : 24,738 = 4,012.32 : x
  2. Step 2: Convert to fraction form
    16,492.24/24,738 = 4,012.32/x
  3. Step 3: Cross multiply
    16,492.24x = 24,738 × 4,012.32
  4. Step 4: Simplify right side
    16,492.24x = 99,256,772.16
  5. Step 5: Solve for x
    x = 99,256,772.16/16,492.24
  6. Step 6: Final answer
    x = 6,018.39

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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.