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Finding the Fourth Proportional to 23,842.41, 32,892.24 and 14,405.50

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Solution

The fourth proportional to 23,842.41, 32,892.24 and 14,405.50 is: 19,873.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,842.41 : 32,892.24 = 14,405.50 : x
  2. Step 2: Convert to fraction form
    23,842.41/32,892.24 = 14,405.50/x
  3. Step 3: Cross multiply
    23,842.41x = 32,892.24 × 14,405.50
  4. Step 4: Simplify right side
    23,842.41x = 473,829,163.32
  5. Step 5: Solve for x
    x = 473,829,163.32/23,842.41
  6. Step 6: Final answer
    x = 19,873.38

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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.