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Finding the Fourth Proportional to 21,615.97, 29,830.50 and 12,184.53

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Solution

The fourth proportional to 21,615.97, 29,830.50 and 12,184.53 is: 16,814.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,615.97 : 29,830.50 = 12,184.53 : x
  2. Step 2: Convert to fraction form
    21,615.97/29,830.50 = 12,184.53/x
  3. Step 3: Cross multiply
    21,615.97x = 29,830.50 × 12,184.53
  4. Step 4: Simplify right side
    21,615.97x = 363,470,561.24
  5. Step 5: Solve for x
    x = 363,470,561.24/21,615.97
  6. Step 6: Final answer
    x = 16,814.91

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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.