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Finding the Fourth Proportional to 18,829.60, 25,984.80 and 10,446.40

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Solution

The fourth proportional to 18,829.60, 25,984.80 and 10,446.40 is: 14,416.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,829.60 : 25,984.80 = 10,446.40 : x
  2. Step 2: Convert to fraction form
    18,829.60/25,984.80 = 10,446.40/x
  3. Step 3: Cross multiply
    18,829.60x = 25,984.80 × 10,446.40
  4. Step 4: Simplify right side
    18,829.60x = 271,447,614.72
  5. Step 5: Solve for x
    x = 271,447,614.72/18,829.60
  6. Step 6: Final answer
    x = 14,416.01

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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.