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Finding the Fourth Proportional to 16,381.32, 24,575.63 and 4,694.64

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Solution

The fourth proportional to 16,381.32, 24,575.63 and 4,694.64 is: 7,043.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,381.32 : 24,575.63 = 4,694.64 : x
  2. Step 2: Convert to fraction form
    16,381.32/24,575.63 = 4,694.64/x
  3. Step 3: Cross multiply
    16,381.32x = 24,575.63 × 4,694.64
  4. Step 4: Simplify right side
    16,381.32x = 115,373,712.15
  5. Step 5: Solve for x
    x = 115,373,712.15/16,381.32
  6. Step 6: Final answer
    x = 7,043.00

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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.