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Finding the Fourth Proportional to 16,043.70, 24,062.82 and 4,354.19

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Solution

The fourth proportional to 16,043.70, 24,062.82 and 4,354.19 is: 6,530.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,043.70 : 24,062.82 = 4,354.19 : x
  2. Step 2: Convert to fraction form
    16,043.70/24,062.82 = 4,354.19/x
  3. Step 3: Cross multiply
    16,043.70x = 24,062.82 × 4,354.19
  4. Step 4: Simplify right side
    16,043.70x = 104,774,090.22
  5. Step 5: Solve for x
    x = 104,774,090.22/16,043.70
  6. Step 6: Final answer
    x = 6,530.54

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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.