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Finding the Fourth Proportional to 18,830.23, 25,985.73 and 10,446.73

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Solution

The fourth proportional to 18,830.23, 25,985.73 and 10,446.73 is: 14,416.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,830.23 : 25,985.73 = 10,446.73 : x
  2. Step 2: Convert to fraction form
    18,830.23/25,985.73 = 10,446.73/x
  3. Step 3: Cross multiply
    18,830.23x = 25,985.73 × 10,446.73
  4. Step 4: Simplify right side
    18,830.23x = 271,465,905.16
  5. Step 5: Solve for x
    x = 271,465,905.16/18,830.23
  6. Step 6: Final answer
    x = 14,416.49

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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.