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Finding the Fourth Proportional to 14,012.18, 19,336.54 and 7,638.83

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Solution

The fourth proportional to 14,012.18, 19,336.54 and 7,638.83 is: 10,541.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,012.18 : 19,336.54 = 7,638.83 : x
  2. Step 2: Convert to fraction form
    14,012.18/19,336.54 = 7,638.83/x
  3. Step 3: Cross multiply
    14,012.18x = 19,336.54 × 7,638.83
  4. Step 4: Simplify right side
    14,012.18x = 147,708,406.97
  5. Step 5: Solve for x
    x = 147,708,406.97/14,012.18
  6. Step 6: Final answer
    x = 10,541.43

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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.