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Finding the Fourth Proportional to 12,191.23, 16,823.96 and 6,602.23

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Solution

The fourth proportional to 12,191.23, 16,823.96 and 6,602.23 is: 9,111.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,191.23 : 16,823.96 = 6,602.23 : x
  2. Step 2: Convert to fraction form
    12,191.23/16,823.96 = 6,602.23/x
  3. Step 3: Cross multiply
    12,191.23x = 16,823.96 × 6,602.23
  4. Step 4: Simplify right side
    12,191.23x = 111,075,653.43
  5. Step 5: Solve for x
    x = 111,075,653.43/12,191.23
  6. Step 6: Final answer
    x = 9,111.11

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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.