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Finding the Fourth Proportional to 23,205.86, 32,050.19 and 15,683.26

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Solution

The fourth proportional to 23,205.86, 32,050.19 and 15,683.26 is: 21,660.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,205.86 : 32,050.19 = 15,683.26 : x
  2. Step 2: Convert to fraction form
    23,205.86/32,050.19 = 15,683.26/x
  3. Step 3: Cross multiply
    23,205.86x = 32,050.19 × 15,683.26
  4. Step 4: Simplify right side
    23,205.86x = 502,651,421.90
  5. Step 5: Solve for x
    x = 502,651,421.90/23,205.86
  6. Step 6: Final answer
    x = 21,660.54

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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.