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Finding the Fourth Proportional to 21,461.34, 29,615.86 and 11,901.64

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Solution

The fourth proportional to 21,461.34, 29,615.86 and 11,901.64 is: 16,423.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,461.34 : 29,615.86 = 11,901.64 : x
  2. Step 2: Convert to fraction form
    21,461.34/29,615.86 = 11,901.64/x
  3. Step 3: Cross multiply
    21,461.34x = 29,615.86 × 11,901.64
  4. Step 4: Simplify right side
    21,461.34x = 352,477,304.01
  5. Step 5: Solve for x
    x = 352,477,304.01/21,461.34
  6. Step 6: Final answer
    x = 16,423.83

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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.