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Finding the Fourth Proportional to 14,012.37, 19,337.29 and 7,638.97

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Solution

The fourth proportional to 14,012.37, 19,337.29 and 7,638.97 is: 10,541.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,012.37 : 19,337.29 = 7,638.97 : x
  2. Step 2: Convert to fraction form
    14,012.37/19,337.29 = 7,638.97/x
  3. Step 3: Cross multiply
    14,012.37x = 19,337.29 × 7,638.97
  4. Step 4: Simplify right side
    14,012.37x = 147,716,843.31
  5. Step 5: Solve for x
    x = 147,716,843.31/14,012.37
  6. Step 6: Final answer
    x = 10,541.89

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