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Finding the Fourth Proportional to 16,461.60, 24,680.49 and 9,782.27

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Solution

The fourth proportional to 16,461.60, 24,680.49 and 9,782.27 is: 14,666.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,461.60 : 24,680.49 = 9,782.27 : x
  2. Step 2: Convert to fraction form
    16,461.60/24,680.49 = 9,782.27/x
  3. Step 3: Cross multiply
    16,461.60x = 24,680.49 × 9,782.27
  4. Step 4: Simplify right side
    16,461.60x = 241,431,093.51
  5. Step 5: Solve for x
    x = 241,431,093.51/16,461.60
  6. Step 6: Final answer
    x = 14,666.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.