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Finding the Fourth Proportional to 18,722.50, 25,837.05 and 10,339

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Solution

The fourth proportional to 18,722.50, 25,837.05 and 10,339 is: 14,267.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,722.50 : 25,837.05 = 10,339 : x
  2. Step 2: Convert to fraction form
    18,722.50/25,837.05 = 10,339/x
  3. Step 3: Cross multiply
    18,722.50x = 25,837.05 × 10,339
  4. Step 4: Simplify right side
    18,722.50x = 267,129,259.95
  5. Step 5: Solve for x
    x = 267,129,259.95/18,722.50
  6. Step 6: Final answer
    x = 14,267.82

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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.