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Finding the Fourth Proportional to 18,597, 25,664.28 and 10,213.50

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Solution

The fourth proportional to 18,597, 25,664.28 and 10,213.50 is: 14,094.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,597 : 25,664.28 = 10,213.50 : x
  2. Step 2: Convert to fraction form
    18,597/25,664.28 = 10,213.50/x
  3. Step 3: Cross multiply
    18,597x = 25,664.28 × 10,213.50
  4. Step 4: Simplify right side
    18,597x = 262,122,123.78
  5. Step 5: Solve for x
    x = 262,122,123.78/18,597
  6. Step 6: Final answer
    x = 14,094.86

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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.