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Finding the Fourth Proportional to 12,252.53, 16,900.43 and 9,730.64

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Solution

The fourth proportional to 12,252.53, 16,900.43 and 9,730.64 is: 13,421.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,252.53 : 16,900.43 = 9,730.64 : x
  2. Step 2: Convert to fraction form
    12,252.53/16,900.43 = 9,730.64/x
  3. Step 3: Cross multiply
    12,252.53x = 16,900.43 × 9,730.64
  4. Step 4: Simplify right side
    12,252.53x = 164,451,993.77
  5. Step 5: Solve for x
    x = 164,451,993.77/12,252.53
  6. Step 6: Final answer
    x = 13,421.88

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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.