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Finding the Fourth Proportional to 18,733.80, 25,854.34 and 10,353

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Solution

The fourth proportional to 18,733.80, 25,854.34 and 10,353 is: 14,288.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,733.80 : 25,854.34 = 10,353 : x
  2. Step 2: Convert to fraction form
    18,733.80/25,854.34 = 10,353/x
  3. Step 3: Cross multiply
    18,733.80x = 25,854.34 × 10,353
  4. Step 4: Simplify right side
    18,733.80x = 267,669,982.02
  5. Step 5: Solve for x
    x = 267,669,982.02/18,733.80
  6. Step 6: Final answer
    x = 14,288.08

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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.