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Finding the Fourth Proportional to 13,523.76, 18,662.80 and 7,555.42

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Solution

The fourth proportional to 13,523.76, 18,662.80 and 7,555.42 is: 10,426.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,523.76 : 18,662.80 = 7,555.42 : x
  2. Step 2: Convert to fraction form
    13,523.76/18,662.80 = 7,555.42/x
  3. Step 3: Cross multiply
    13,523.76x = 18,662.80 × 7,555.42
  4. Step 4: Simplify right side
    13,523.76x = 141,005,292.38
  5. Step 5: Solve for x
    x = 141,005,292.38/13,523.76
  6. Step 6: Final answer
    x = 10,426.49

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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.