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Finding the Fourth Proportional to 13,159.38, 18,160.81 and 7,418.25

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Solution

The fourth proportional to 13,159.38, 18,160.81 and 7,418.25 is: 10,237.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,159.38 : 18,160.81 = 7,418.25 : x
  2. Step 2: Convert to fraction form
    13,159.38/18,160.81 = 7,418.25/x
  3. Step 3: Cross multiply
    13,159.38x = 18,160.81 × 7,418.25
  4. Step 4: Simplify right side
    13,159.38x = 134,721,444.29
  5. Step 5: Solve for x
    x = 134,721,444.29/13,159.38
  6. Step 6: Final answer
    x = 10,237.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.