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Finding the Fourth Proportional to 23,420.10, 32,326.14 and 13,353.84

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Solution

The fourth proportional to 23,420.10, 32,326.14 and 13,353.84 is: 18,431.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,420.10 : 32,326.14 = 13,353.84 : x
  2. Step 2: Convert to fraction form
    23,420.10/32,326.14 = 13,353.84/x
  3. Step 3: Cross multiply
    23,420.10x = 32,326.14 × 13,353.84
  4. Step 4: Simplify right side
    23,420.10x = 431,678,101.38
  5. Step 5: Solve for x
    x = 431,678,101.38/23,420.10
  6. Step 6: Final answer
    x = 18,431.95

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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.