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Finding the Fourth Proportional to 12,235.89, 18,359.72 and 6,689.01

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Solution

The fourth proportional to 12,235.89, 18,359.72 and 6,689.01 is: 10,036.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,235.89 : 18,359.72 = 6,689.01 : x
  2. Step 2: Convert to fraction form
    12,235.89/18,359.72 = 6,689.01/x
  3. Step 3: Cross multiply
    12,235.89x = 18,359.72 × 6,689.01
  4. Step 4: Simplify right side
    12,235.89x = 122,808,317.23
  5. Step 5: Solve for x
    x = 122,808,317.23/12,235.89
  6. Step 6: Final answer
    x = 10,036.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.