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Finding the Fourth Proportional to 13,570.46, 18,731.28 and 8,267.88

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Solution

The fourth proportional to 13,570.46, 18,731.28 and 8,267.88 is: 11,412.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,570.46 : 18,731.28 = 8,267.88 : x
  2. Step 2: Convert to fraction form
    13,570.46/18,731.28 = 8,267.88/x
  3. Step 3: Cross multiply
    13,570.46x = 18,731.28 × 8,267.88
  4. Step 4: Simplify right side
    13,570.46x = 154,867,975.29
  5. Step 5: Solve for x
    x = 154,867,975.29/13,570.46
  6. Step 6: Final answer
    x = 11,412.14

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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.