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Finding the Fourth Proportional to 12,357.38, 18,534.09 and 4,037.33

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Solution

The fourth proportional to 12,357.38, 18,534.09 and 4,037.33 is: 6,055.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,357.38 : 18,534.09 = 4,037.33 : x
  2. Step 2: Convert to fraction form
    12,357.38/18,534.09 = 4,037.33/x
  3. Step 3: Cross multiply
    12,357.38x = 18,534.09 × 4,037.33
  4. Step 4: Simplify right side
    12,357.38x = 74,828,144.91
  5. Step 5: Solve for x
    x = 74,828,144.91/12,357.38
  6. Step 6: Final answer
    x = 6,055.34

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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.