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Finding the Fourth Proportional to 14,818.52, 20,466.42 and 9,964.82

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Solution

The fourth proportional to 14,818.52, 20,466.42 and 9,964.82 is: 13,762.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,818.52 : 20,466.42 = 9,964.82 : x
  2. Step 2: Convert to fraction form
    14,818.52/20,466.42 = 9,964.82/x
  3. Step 3: Cross multiply
    14,818.52x = 20,466.42 × 9,964.82
  4. Step 4: Simplify right side
    14,818.52x = 203,944,261.19
  5. Step 5: Solve for x
    x = 203,944,261.19/14,818.52
  6. Step 6: Final answer
    x = 13,762.80

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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.