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Finding the Fourth Proportional to 13,302.92, 18,358.86 and 7,334.58

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Solution

The fourth proportional to 13,302.92, 18,358.86 and 7,334.58 is: 10,122.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,302.92 : 18,358.86 = 7,334.58 : x
  2. Step 2: Convert to fraction form
    13,302.92/18,358.86 = 7,334.58/x
  3. Step 3: Cross multiply
    13,302.92x = 18,358.86 × 7,334.58
  4. Step 4: Simplify right side
    13,302.92x = 134,654,527.38
  5. Step 5: Solve for x
    x = 134,654,527.38/13,302.92
  6. Step 6: Final answer
    x = 10,122.18

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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.