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Finding the Fourth Proportional to 14,747.76, 20,352.48 and 8,461.32

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Solution

The fourth proportional to 14,747.76, 20,352.48 and 8,461.32 is: 11,676.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,747.76 : 20,352.48 = 8,461.32 : x
  2. Step 2: Convert to fraction form
    14,747.76/20,352.48 = 8,461.32/x
  3. Step 3: Cross multiply
    14,747.76x = 20,352.48 × 8,461.32
  4. Step 4: Simplify right side
    14,747.76x = 172,208,846.07
  5. Step 5: Solve for x
    x = 172,208,846.07/14,747.76
  6. Step 6: Final answer
    x = 11,676.95

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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.