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Finding the Fourth Proportional to 23,601.34, 35,402.11 and 9,561.64

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Solution

The fourth proportional to 23,601.34, 35,402.11 and 9,561.64 is: 14,342.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,601.34 : 35,402.11 = 9,561.64 : x
  2. Step 2: Convert to fraction form
    23,601.34/35,402.11 = 9,561.64/x
  3. Step 3: Cross multiply
    23,601.34x = 35,402.11 × 9,561.64
  4. Step 4: Simplify right side
    23,601.34x = 338,502,231.06
  5. Step 5: Solve for x
    x = 338,502,231.06/23,601.34
  6. Step 6: Final answer
    x = 14,342.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.