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Finding the Fourth Proportional to 12,538.97, 18,818.84 and 6,300.77

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Solution

The fourth proportional to 12,538.97, 18,818.84 and 6,300.77 is: 9,456.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,538.97 : 18,818.84 = 6,300.77 : x
  2. Step 2: Convert to fraction form
    12,538.97/18,818.84 = 6,300.77/x
  3. Step 3: Cross multiply
    12,538.97x = 18,818.84 × 6,300.77
  4. Step 4: Simplify right side
    12,538.97x = 118,573,056.91
  5. Step 5: Solve for x
    x = 118,573,056.91/12,538.97
  6. Step 6: Final answer
    x = 9,456.37

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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.