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Finding the Fourth Proportional to 13,406.38, 18,498.05 and 7,436.77

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Solution

The fourth proportional to 13,406.38, 18,498.05 and 7,436.77 is: 10,261.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,406.38 : 18,498.05 = 7,436.77 : x
  2. Step 2: Convert to fraction form
    13,406.38/18,498.05 = 7,436.77/x
  3. Step 3: Cross multiply
    13,406.38x = 18,498.05 × 7,436.77
  4. Step 4: Simplify right side
    13,406.38x = 137,565,743.30
  5. Step 5: Solve for x
    x = 137,565,743.30/13,406.38
  6. Step 6: Final answer
    x = 10,261.21

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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.