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Finding the Fourth Proportional to 13,092, 18,062.40 and 7,426.08

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Solution

The fourth proportional to 13,092, 18,062.40 and 7,426.08 is: 10,245.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,092 : 18,062.40 = 7,426.08 : x
  2. Step 2: Convert to fraction form
    13,092/18,062.40 = 7,426.08/x
  3. Step 3: Cross multiply
    13,092x = 18,062.40 × 7,426.08
  4. Step 4: Simplify right side
    13,092x = 134,132,827.39
  5. Step 5: Solve for x
    x = 134,132,827.39/13,092
  6. Step 6: Final answer
    x = 10,245.40

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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.