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Finding the Fourth Proportional to 12,191.77, 16,824.63 and 6,602.77

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Solution

The fourth proportional to 12,191.77, 16,824.63 and 6,602.77 is: 9,111.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,191.77 : 16,824.63 = 6,602.77 : x
  2. Step 2: Convert to fraction form
    12,191.77/16,824.63 = 6,602.77/x
  3. Step 3: Cross multiply
    12,191.77x = 16,824.63 × 6,602.77
  4. Step 4: Simplify right side
    12,191.77x = 111,089,162.23
  5. Step 5: Solve for x
    x = 111,089,162.23/12,191.77
  6. Step 6: Final answer
    x = 9,111.82

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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.