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Finding the Fourth Proportional to 12,178.64, 16,796.12 and 8,407.84

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Solution

The fourth proportional to 12,178.64, 16,796.12 and 8,407.84 is: 11,595.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,178.64 : 16,796.12 = 8,407.84 : x
  2. Step 2: Convert to fraction form
    12,178.64/16,796.12 = 8,407.84/x
  3. Step 3: Cross multiply
    12,178.64x = 16,796.12 × 8,407.84
  4. Step 4: Simplify right side
    12,178.64x = 141,219,089.58
  5. Step 5: Solve for x
    x = 141,219,089.58/12,178.64
  6. Step 6: Final answer
    x = 11,595.64

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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.