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Finding the Fourth Proportional to 16,346.21, 24,520.16 and 5,252.02

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Solution

The fourth proportional to 16,346.21, 24,520.16 and 5,252.02 is: 7,878.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,346.21 : 24,520.16 = 5,252.02 : x
  2. Step 2: Convert to fraction form
    16,346.21/24,520.16 = 5,252.02/x
  3. Step 3: Cross multiply
    16,346.21x = 24,520.16 × 5,252.02
  4. Step 4: Simplify right side
    16,346.21x = 128,780,322.55
  5. Step 5: Solve for x
    x = 128,780,322.55/16,346.21
  6. Step 6: Final answer
    x = 7,878.30

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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.