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Finding the Fourth Proportional to 13,134, 18,124.92 and 7,548.24

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Solution

The fourth proportional to 13,134, 18,124.92 and 7,548.24 is: 10,416.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,134 : 18,124.92 = 7,548.24 : x
  2. Step 2: Convert to fraction form
    13,134/18,124.92 = 7,548.24/x
  3. Step 3: Cross multiply
    13,134x = 18,124.92 × 7,548.24
  4. Step 4: Simplify right side
    13,134x = 136,811,246.14
  5. Step 5: Solve for x
    x = 136,811,246.14/13,134
  6. Step 6: Final answer
    x = 10,416.57

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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.