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Finding the Fourth Proportional to 17,683.74, 24,403.35 and 9,725.80

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Solution

The fourth proportional to 17,683.74, 24,403.35 and 9,725.80 is: 13,421.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,683.74 : 24,403.35 = 9,725.80 : x
  2. Step 2: Convert to fraction form
    17,683.74/24,403.35 = 9,725.80/x
  3. Step 3: Cross multiply
    17,683.74x = 24,403.35 × 9,725.80
  4. Step 4: Simplify right side
    17,683.74x = 237,342,026.66
  5. Step 5: Solve for x
    x = 237,342,026.66/17,683.74
  6. Step 6: Final answer
    x = 13,421.48

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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.