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Finding the Fourth Proportional to 25,823.31, 35,638.65 and 14,492.82

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Solution

The fourth proportional to 25,823.31, 35,638.65 and 14,492.82 is: 20,001.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,823.31 : 35,638.65 = 14,492.82 : x
  2. Step 2: Convert to fraction form
    25,823.31/35,638.65 = 14,492.82/x
  3. Step 3: Cross multiply
    25,823.31x = 35,638.65 × 14,492.82
  4. Step 4: Simplify right side
    25,823.31x = 516,504,539.49
  5. Step 5: Solve for x
    x = 516,504,539.49/25,823.31
  6. Step 6: Final answer
    x = 20,001.48

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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.