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Finding the Fourth Proportional to 13,675.64, 18,870.18 and 7,705.94

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Solution

The fourth proportional to 13,675.64, 18,870.18 and 7,705.94 is: 10,632.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,675.64 : 18,870.18 = 7,705.94 : x
  2. Step 2: Convert to fraction form
    13,675.64/18,870.18 = 7,705.94/x
  3. Step 3: Cross multiply
    13,675.64x = 18,870.18 × 7,705.94
  4. Step 4: Simplify right side
    13,675.64x = 145,412,474.87
  5. Step 5: Solve for x
    x = 145,412,474.87/13,675.64
  6. Step 6: Final answer
    x = 10,632.96

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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.