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Finding the Fourth Proportional to 13,674.10, 18,870.65 and 7,705.44

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Solution

The fourth proportional to 13,674.10, 18,870.65 and 7,705.44 is: 10,633.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,674.10 : 18,870.65 = 7,705.44 : x
  2. Step 2: Convert to fraction form
    13,674.10/18,870.65 = 7,705.44/x
  3. Step 3: Cross multiply
    13,674.10x = 18,870.65 × 7,705.44
  4. Step 4: Simplify right side
    13,674.10x = 145,406,661.34
  5. Step 5: Solve for x
    x = 145,406,661.34/13,674.10
  6. Step 6: Final answer
    x = 10,633.73

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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.