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Finding the Fourth Proportional to 12,615.72, 18,834.88 and 9,638.58

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Solution

The fourth proportional to 12,615.72, 18,834.88 and 9,638.58 is: 14,390.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,615.72 : 18,834.88 = 9,638.58 : x
  2. Step 2: Convert to fraction form
    12,615.72/18,834.88 = 9,638.58/x
  3. Step 3: Cross multiply
    12,615.72x = 18,834.88 × 9,638.58
  4. Step 4: Simplify right side
    12,615.72x = 181,541,497.67
  5. Step 5: Solve for x
    x = 181,541,497.67/12,615.72
  6. Step 6: Final answer
    x = 14,390.10

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.