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Finding the Fourth Proportional to 13,678.16, 18,873.48 and 8,087.12

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Solution

The fourth proportional to 13,678.16, 18,873.48 and 8,087.12 is: 11,158.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,678.16 : 18,873.48 = 8,087.12 : x
  2. Step 2: Convert to fraction form
    13,678.16/18,873.48 = 8,087.12/x
  3. Step 3: Cross multiply
    13,678.16x = 18,873.48 × 8,087.12
  4. Step 4: Simplify right side
    13,678.16x = 152,632,097.58
  5. Step 5: Solve for x
    x = 152,632,097.58/13,678.16
  6. Step 6: Final answer
    x = 11,158.82

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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.