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Finding the Fourth Proportional to 16,392.32, 24,573.12 and 5,996

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Solution

The fourth proportional to 16,392.32, 24,573.12 and 5,996 is: 8,988.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,392.32 : 24,573.12 = 5,996 : x
  2. Step 2: Convert to fraction form
    16,392.32/24,573.12 = 5,996/x
  3. Step 3: Cross multiply
    16,392.32x = 24,573.12 × 5,996
  4. Step 4: Simplify right side
    16,392.32x = 147,340,427.52
  5. Step 5: Solve for x
    x = 147,340,427.52/16,392.32
  6. Step 6: Final answer
    x = 8,988.38

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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.