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Finding the Fourth Proportional to 18,829.59, 25,985.10 and 10,446.09

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Solution

The fourth proportional to 18,829.59, 25,985.10 and 10,446.09 is: 14,415.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,829.59 : 25,985.10 = 10,446.09 : x
  2. Step 2: Convert to fraction form
    18,829.59/25,985.10 = 10,446.09/x
  3. Step 3: Cross multiply
    18,829.59x = 25,985.10 × 10,446.09
  4. Step 4: Simplify right side
    18,829.59x = 271,442,693.26
  5. Step 5: Solve for x
    x = 271,442,693.26/18,829.59
  6. Step 6: Final answer
    x = 14,415.75

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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.