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Finding the Fourth Proportional to 27,412.76, 37,830.30 and 16,808.24

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Solution

The fourth proportional to 27,412.76, 37,830.30 and 16,808.24 is: 23,195.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,412.76 : 37,830.30 = 16,808.24 : x
  2. Step 2: Convert to fraction form
    27,412.76/37,830.30 = 16,808.24/x
  3. Step 3: Cross multiply
    27,412.76x = 37,830.30 × 16,808.24
  4. Step 4: Simplify right side
    27,412.76x = 635,860,761.67
  5. Step 5: Solve for x
    x = 635,860,761.67/27,412.76
  6. Step 6: Final answer
    x = 23,195.80

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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.