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Finding the Fourth Proportional to 17,638.92, 26,396.58 and 12,646.80

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Solution

The fourth proportional to 17,638.92, 26,396.58 and 12,646.80 is: 18,925.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,638.92 : 26,396.58 = 12,646.80 : x
  2. Step 2: Convert to fraction form
    17,638.92/26,396.58 = 12,646.80/x
  3. Step 3: Cross multiply
    17,638.92x = 26,396.58 × 12,646.80
  4. Step 4: Simplify right side
    17,638.92x = 333,832,267.94
  5. Step 5: Solve for x
    x = 333,832,267.94/17,638.92
  6. Step 6: Final answer
    x = 18,925.89

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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.