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Finding the Fourth Proportional to 14,021.34, 21,045.92 and 7,447.58

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Solution

The fourth proportional to 14,021.34, 21,045.92 and 7,447.58 is: 11,178.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,021.34 : 21,045.92 = 7,447.58 : x
  2. Step 2: Convert to fraction form
    14,021.34/21,045.92 = 7,447.58/x
  3. Step 3: Cross multiply
    14,021.34x = 21,045.92 × 7,447.58
  4. Step 4: Simplify right side
    14,021.34x = 156,741,172.87
  5. Step 5: Solve for x
    x = 156,741,172.87/14,021.34
  6. Step 6: Final answer
    x = 11,178.76

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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.