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Finding the Fourth Proportional to 13,141.42, 18,143.32 and 8,364.04

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Solution

The fourth proportional to 13,141.42, 18,143.32 and 8,364.04 is: 11,547.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,141.42 : 18,143.32 = 8,364.04 : x
  2. Step 2: Convert to fraction form
    13,141.42/18,143.32 = 8,364.04/x
  3. Step 3: Cross multiply
    13,141.42x = 18,143.32 × 8,364.04
  4. Step 4: Simplify right side
    13,141.42x = 151,751,454.21
  5. Step 5: Solve for x
    x = 151,751,454.21/13,141.42
  6. Step 6: Final answer
    x = 11,547.57

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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.