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Finding the Fourth Proportional to 23,782.99, 32,820.19 and 13,711.45

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Solution

The fourth proportional to 23,782.99, 32,820.19 and 13,711.45 is: 18,921.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,782.99 : 32,820.19 = 13,711.45 : x
  2. Step 2: Convert to fraction form
    23,782.99/32,820.19 = 13,711.45/x
  3. Step 3: Cross multiply
    23,782.99x = 32,820.19 × 13,711.45
  4. Step 4: Simplify right side
    23,782.99x = 450,012,394.18
  5. Step 5: Solve for x
    x = 450,012,394.18/23,782.99
  6. Step 6: Final answer
    x = 18,921.61

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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.