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Finding the Fourth Proportional to 19,922.76, 29,897.73 and 12,906

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Solution

The fourth proportional to 19,922.76, 29,897.73 and 12,906 is: 19,367.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,922.76 : 29,897.73 = 12,906 : x
  2. Step 2: Convert to fraction form
    19,922.76/29,897.73 = 12,906/x
  3. Step 3: Cross multiply
    19,922.76x = 29,897.73 × 12,906
  4. Step 4: Simplify right side
    19,922.76x = 385,860,103.38
  5. Step 5: Solve for x
    x = 385,860,103.38/19,922.76
  6. Step 6: Final answer
    x = 19,367.80

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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.