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Finding the Fourth Proportional to 16,429.54, 24,644.75 and 4,742.75

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Solution

The fourth proportional to 16,429.54, 24,644.75 and 4,742.75 is: 7,114.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,429.54 : 24,644.75 = 4,742.75 : x
  2. Step 2: Convert to fraction form
    16,429.54/24,644.75 = 4,742.75/x
  3. Step 3: Cross multiply
    16,429.54x = 24,644.75 × 4,742.75
  4. Step 4: Simplify right side
    16,429.54x = 116,883,888.06
  5. Step 5: Solve for x
    x = 116,883,888.06/16,429.54
  6. Step 6: Final answer
    x = 7,114.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.