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Finding the Fourth Proportional to 18,830.34, 25,985.90 and 10,446.84

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Solution

The fourth proportional to 18,830.34, 25,985.90 and 10,446.84 is: 14,416.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,830.34 : 25,985.90 = 10,446.84 : x
  2. Step 2: Convert to fraction form
    18,830.34/25,985.90 = 10,446.84/x
  3. Step 3: Cross multiply
    18,830.34x = 25,985.90 × 10,446.84
  4. Step 4: Simplify right side
    18,830.34x = 271,470,539.56
  5. Step 5: Solve for x
    x = 271,470,539.56/18,830.34
  6. Step 6: Final answer
    x = 14,416.66

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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.