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Finding the Fourth Proportional to 12,381.34, 18,539.18 and 6,520.18

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Solution

The fourth proportional to 12,381.34, 18,539.18 and 6,520.18 is: 9,762.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,381.34 : 18,539.18 = 6,520.18 : x
  2. Step 2: Convert to fraction form
    12,381.34/18,539.18 = 6,520.18/x
  3. Step 3: Cross multiply
    12,381.34x = 18,539.18 × 6,520.18
  4. Step 4: Simplify right side
    12,381.34x = 120,878,790.65
  5. Step 5: Solve for x
    x = 120,878,790.65/12,381.34
  6. Step 6: Final answer
    x = 9,762.98

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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.