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Finding the Fourth Proportional to 20,709.76, 31,064.22 and 5,127.16

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Solution

The fourth proportional to 20,709.76, 31,064.22 and 5,127.16 is: 7,690.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,709.76 : 31,064.22 = 5,127.16 : x
  2. Step 2: Convert to fraction form
    20,709.76/31,064.22 = 5,127.16/x
  3. Step 3: Cross multiply
    20,709.76x = 31,064.22 × 5,127.16
  4. Step 4: Simplify right side
    20,709.76x = 159,271,226.22
  5. Step 5: Solve for x
    x = 159,271,226.22/20,709.76
  6. Step 6: Final answer
    x = 7,690.64

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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.