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Finding the Fourth Proportional to 23,785.76, 32,821 and 13,713.40

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Solution

The fourth proportional to 23,785.76, 32,821 and 13,713.40 is: 18,922.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,785.76 : 32,821 = 13,713.40 : x
  2. Step 2: Convert to fraction form
    23,785.76/32,821 = 13,713.40/x
  3. Step 3: Cross multiply
    23,785.76x = 32,821 × 13,713.40
  4. Step 4: Simplify right side
    23,785.76x = 450,087,501.40
  5. Step 5: Solve for x
    x = 450,087,501.40/23,785.76
  6. Step 6: Final answer
    x = 18,922.56

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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.