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Finding the Fourth Proportional to 18,123.84, 25,008.90 and 10,164.42

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Solution

The fourth proportional to 18,123.84, 25,008.90 and 10,164.42 is: 14,025.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,123.84 : 25,008.90 = 10,164.42 : x
  2. Step 2: Convert to fraction form
    18,123.84/25,008.90 = 10,164.42/x
  3. Step 3: Cross multiply
    18,123.84x = 25,008.90 × 10,164.42
  4. Step 4: Simplify right side
    18,123.84x = 254,200,963.34
  5. Step 5: Solve for x
    x = 254,200,963.34/18,123.84
  6. Step 6: Final answer
    x = 14,025.78

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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.