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Finding the Fourth Proportional to 18,738.42, 25,858.08 and 13,442.10

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Solution

The fourth proportional to 18,738.42, 25,858.08 and 13,442.10 is: 18,549.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,738.42 : 25,858.08 = 13,442.10 : x
  2. Step 2: Convert to fraction form
    18,738.42/25,858.08 = 13,442.10/x
  3. Step 3: Cross multiply
    18,738.42x = 25,858.08 × 13,442.10
  4. Step 4: Simplify right side
    18,738.42x = 347,586,897.17
  5. Step 5: Solve for x
    x = 347,586,897.17/18,738.42
  6. Step 6: Final answer
    x = 18,549.42

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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.