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Finding the Fourth Proportional to 23,596.34, 32,563.08 and 13,525.38

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Solution

The fourth proportional to 23,596.34, 32,563.08 and 13,525.38 is: 18,665.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,596.34 : 32,563.08 = 13,525.38 : x
  2. Step 2: Convert to fraction form
    23,596.34/32,563.08 = 13,525.38/x
  3. Step 3: Cross multiply
    23,596.34x = 32,563.08 × 13,525.38
  4. Step 4: Simplify right side
    23,596.34x = 440,428,030.97
  5. Step 5: Solve for x
    x = 440,428,030.97/23,596.34
  6. Step 6: Final answer
    x = 18,665.10

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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.