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Finding the Fourth Proportional to 16,330.64, 24,496.16 and 4,643.84

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Solution

The fourth proportional to 16,330.64, 24,496.16 and 4,643.84 is: 6,965.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,330.64 : 24,496.16 = 4,643.84 : x
  2. Step 2: Convert to fraction form
    16,330.64/24,496.16 = 4,643.84/x
  3. Step 3: Cross multiply
    16,330.64x = 24,496.16 × 4,643.84
  4. Step 4: Simplify right side
    16,330.64x = 113,756,247.65
  5. Step 5: Solve for x
    x = 113,756,247.65/16,330.64
  6. Step 6: Final answer
    x = 6,965.82

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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.