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Finding the Fourth Proportional to 12,605.96, 18,907.86 and 7,674.32

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Solution

The fourth proportional to 12,605.96, 18,907.86 and 7,674.32 is: 11,510.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,605.96 : 18,907.86 = 7,674.32 : x
  2. Step 2: Convert to fraction form
    12,605.96/18,907.86 = 7,674.32/x
  3. Step 3: Cross multiply
    12,605.96x = 18,907.86 × 7,674.32
  4. Step 4: Simplify right side
    12,605.96x = 145,104,968.16
  5. Step 5: Solve for x
    x = 145,104,968.16/12,605.96
  6. Step 6: Final answer
    x = 11,510.82

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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.