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Finding the Fourth Proportional to 13,178.57, 18,185.94 and 7,870.23

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Solution

The fourth proportional to 13,178.57, 18,185.94 and 7,870.23 is: 10,860.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,178.57 : 18,185.94 = 7,870.23 : x
  2. Step 2: Convert to fraction form
    13,178.57/18,185.94 = 7,870.23/x
  3. Step 3: Cross multiply
    13,178.57x = 18,185.94 × 7,870.23
  4. Step 4: Simplify right side
    13,178.57x = 143,127,530.57
  5. Step 5: Solve for x
    x = 143,127,530.57/13,178.57
  6. Step 6: Final answer
    x = 10,860.63

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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.