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Finding the Fourth Proportional to 21,567.72, 29,761.74 and 12,137.88

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Solution

The fourth proportional to 21,567.72, 29,761.74 and 12,137.88 is: 16,749.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,567.72 : 29,761.74 = 12,137.88 : x
  2. Step 2: Convert to fraction form
    21,567.72/29,761.74 = 12,137.88/x
  3. Step 3: Cross multiply
    21,567.72x = 29,761.74 × 12,137.88
  4. Step 4: Simplify right side
    21,567.72x = 361,244,428.71
  5. Step 5: Solve for x
    x = 361,244,428.71/21,567.72
  6. Step 6: Final answer
    x = 16,749.31

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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.