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Finding the Fourth Proportional to 23,842.53, 32,892.41 and 14,405.63

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Solution

The fourth proportional to 23,842.53, 32,892.41 and 14,405.63 is: 19,873.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,842.53 : 32,892.41 = 14,405.63 : x
  2. Step 2: Convert to fraction form
    23,842.53/32,892.41 = 14,405.63/x
  3. Step 3: Cross multiply
    23,842.53x = 32,892.41 × 14,405.63
  4. Step 4: Simplify right side
    23,842.53x = 473,835,759.82
  5. Step 5: Solve for x
    x = 473,835,759.82/23,842.53
  6. Step 6: Final answer
    x = 19,873.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.