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Finding the Fourth Proportional to 12,191.46, 16,824.29 and 6,602.46

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Solution

The fourth proportional to 12,191.46, 16,824.29 and 6,602.46 is: 9,111.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,191.46 : 16,824.29 = 6,602.46 : x
  2. Step 2: Convert to fraction form
    12,191.46/16,824.29 = 6,602.46/x
  3. Step 3: Cross multiply
    12,191.46x = 16,824.29 × 6,602.46
  4. Step 4: Simplify right side
    12,191.46x = 111,081,668.74
  5. Step 5: Solve for x
    x = 111,081,668.74/12,191.46
  6. Step 6: Final answer
    x = 9,111.43

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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.