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Finding the Fourth Proportional to 20,475.59, 30,713.38 and 5,684.51

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Solution

The fourth proportional to 20,475.59, 30,713.38 and 5,684.51 is: 8,526.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,475.59 : 30,713.38 = 5,684.51 : x
  2. Step 2: Convert to fraction form
    20,475.59/30,713.38 = 5,684.51/x
  3. Step 3: Cross multiply
    20,475.59x = 30,713.38 × 5,684.51
  4. Step 4: Simplify right side
    20,475.59x = 174,590,578.32
  5. Step 5: Solve for x
    x = 174,590,578.32/20,475.59
  6. Step 6: Final answer
    x = 8,526.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.