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Finding the Fourth Proportional to 30,814.44, 42,524.40 and 17,386.32

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Solution

The fourth proportional to 30,814.44, 42,524.40 and 17,386.32 is: 23,993.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,814.44 : 42,524.40 = 17,386.32 : x
  2. Step 2: Convert to fraction form
    30,814.44/42,524.40 = 17,386.32/x
  3. Step 3: Cross multiply
    30,814.44x = 42,524.40 × 17,386.32
  4. Step 4: Simplify right side
    30,814.44x = 739,342,826.21
  5. Step 5: Solve for x
    x = 739,342,826.21/30,814.44
  6. Step 6: Final answer
    x = 23,993.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.