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Finding the Fourth Proportional to 20,199.27, 30,312.76 and 7,051.64

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Solution

The fourth proportional to 20,199.27, 30,312.76 and 7,051.64 is: 10,582.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,199.27 : 30,312.76 = 7,051.64 : x
  2. Step 2: Convert to fraction form
    20,199.27/30,312.76 = 7,051.64/x
  3. Step 3: Cross multiply
    20,199.27x = 30,312.76 × 7,051.64
  4. Step 4: Simplify right side
    20,199.27x = 213,754,793.51
  5. Step 5: Solve for x
    x = 213,754,793.51/20,199.27
  6. Step 6: Final answer
    x = 10,582.30

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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.