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Finding the Fourth Proportional to 12,141.12, 16,754.58 and 6,835.98

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Solution

The fourth proportional to 12,141.12, 16,754.58 and 6,835.98 is: 9,433.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,141.12 : 16,754.58 = 6,835.98 : x
  2. Step 2: Convert to fraction form
    12,141.12/16,754.58 = 6,835.98/x
  3. Step 3: Cross multiply
    12,141.12x = 16,754.58 × 6,835.98
  4. Step 4: Simplify right side
    12,141.12x = 114,533,973.79
  5. Step 5: Solve for x
    x = 114,533,973.79/12,141.12
  6. Step 6: Final answer
    x = 9,433.56

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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.