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Finding the Fourth Proportional to 12,187.32, 16,818.28 and 6,809.84

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Solution

The fourth proportional to 12,187.32, 16,818.28 and 6,809.84 is: 9,397.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,187.32 : 16,818.28 = 6,809.84 : x
  2. Step 2: Convert to fraction form
    12,187.32/16,818.28 = 6,809.84/x
  3. Step 3: Cross multiply
    12,187.32x = 16,818.28 × 6,809.84
  4. Step 4: Simplify right side
    12,187.32x = 114,529,795.88
  5. Step 5: Solve for x
    x = 114,529,795.88/12,187.32
  6. Step 6: Final answer
    x = 9,397.46

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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.