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Finding the Fourth Proportional to 21,421.76, 29,563.16 and 13,461.04

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Solution

The fourth proportional to 21,421.76, 29,563.16 and 13,461.04 is: 18,576.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,421.76 : 29,563.16 = 13,461.04 : x
  2. Step 2: Convert to fraction form
    21,421.76/29,563.16 = 13,461.04/x
  3. Step 3: Cross multiply
    21,421.76x = 29,563.16 × 13,461.04
  4. Step 4: Simplify right side
    21,421.76x = 397,950,879.29
  5. Step 5: Solve for x
    x = 397,950,879.29/21,421.76
  6. Step 6: Final answer
    x = 18,576.95

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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.