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Finding the Fourth Proportional to 17,682.18, 24,403.41 and 9,725.10

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Solution

The fourth proportional to 17,682.18, 24,403.41 and 9,725.10 is: 13,421.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,682.18 : 24,403.41 = 9,725.10 : x
  2. Step 2: Convert to fraction form
    17,682.18/24,403.41 = 9,725.10/x
  3. Step 3: Cross multiply
    17,682.18x = 24,403.41 × 9,725.10
  4. Step 4: Simplify right side
    17,682.18x = 237,325,602.59
  5. Step 5: Solve for x
    x = 237,325,602.59/17,682.18
  6. Step 6: Final answer
    x = 13,421.74

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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.