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Finding the Fourth Proportional to 21,729.78, 29,986.34 and 12,298.14

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Solution

The fourth proportional to 21,729.78, 29,986.34 and 12,298.14 is: 16,971.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,729.78 : 29,986.34 = 12,298.14 : x
  2. Step 2: Convert to fraction form
    21,729.78/29,986.34 = 12,298.14/x
  3. Step 3: Cross multiply
    21,729.78x = 29,986.34 × 12,298.14
  4. Step 4: Simplify right side
    21,729.78x = 368,776,145.92
  5. Step 5: Solve for x
    x = 368,776,145.92/21,729.78
  6. Step 6: Final answer
    x = 16,971.00

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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.