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Finding the Fourth Proportional to 18,826.34, 25,980.37 and 10,442.84

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Solution

The fourth proportional to 18,826.34, 25,980.37 and 10,442.84 is: 14,411.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,826.34 : 25,980.37 = 10,442.84 : x
  2. Step 2: Convert to fraction form
    18,826.34/25,980.37 = 10,442.84/x
  3. Step 3: Cross multiply
    18,826.34x = 25,980.37 × 10,442.84
  4. Step 4: Simplify right side
    18,826.34x = 271,308,847.05
  5. Step 5: Solve for x
    x = 271,308,847.05/18,826.34
  6. Step 6: Final answer
    x = 14,411.13

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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.