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Finding the Fourth Proportional to 13,536.43, 18,672.78 and 7,870.55

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Solution

The fourth proportional to 13,536.43, 18,672.78 and 7,870.55 is: 10,857.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,536.43 : 18,672.78 = 7,870.55 : x
  2. Step 2: Convert to fraction form
    13,536.43/18,672.78 = 7,870.55/x
  3. Step 3: Cross multiply
    13,536.43x = 18,672.78 × 7,870.55
  4. Step 4: Simplify right side
    13,536.43x = 146,965,068.33
  5. Step 5: Solve for x
    x = 146,965,068.33/13,536.43
  6. Step 6: Final answer
    x = 10,857.00

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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.