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Finding the Fourth Proportional to 21,615.12, 29,827.08 and 12,186

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Solution

The fourth proportional to 21,615.12, 29,827.08 and 12,186 is: 16,815.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,615.12 : 29,827.08 = 12,186 : x
  2. Step 2: Convert to fraction form
    21,615.12/29,827.08 = 12,186/x
  3. Step 3: Cross multiply
    21,615.12x = 29,827.08 × 12,186
  4. Step 4: Simplify right side
    21,615.12x = 363,472,796.88
  5. Step 5: Solve for x
    x = 363,472,796.88/21,615.12
  6. Step 6: Final answer
    x = 16,815.67

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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.