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Finding the Fourth Proportional to 16,507.94, 24,759.47 and 5,423.49

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Solution

The fourth proportional to 16,507.94, 24,759.47 and 5,423.49 is: 8,134.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,507.94 : 24,759.47 = 5,423.49 : x
  2. Step 2: Convert to fraction form
    16,507.94/24,759.47 = 5,423.49/x
  3. Step 3: Cross multiply
    16,507.94x = 24,759.47 × 5,423.49
  4. Step 4: Simplify right side
    16,507.94x = 134,282,751.51
  5. Step 5: Solve for x
    x = 134,282,751.51/16,507.94
  6. Step 6: Final answer
    x = 8,134.44

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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.