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Finding the Fourth Proportional to 13,256.34, 18,293.04 and 7,286.86

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Solution

The fourth proportional to 13,256.34, 18,293.04 and 7,286.86 is: 10,055.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,256.34 : 18,293.04 = 7,286.86 : x
  2. Step 2: Convert to fraction form
    13,256.34/18,293.04 = 7,286.86/x
  3. Step 3: Cross multiply
    13,256.34x = 18,293.04 × 7,286.86
  4. Step 4: Simplify right side
    13,256.34x = 133,298,775.72
  5. Step 5: Solve for x
    x = 133,298,775.72/13,256.34
  6. Step 6: Final answer
    x = 10,055.48

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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.