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Finding the Fourth Proportional to 20,565.04, 30,852.44 and 6,714

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Solution

The fourth proportional to 20,565.04, 30,852.44 and 6,714 is: 10,072.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,565.04 : 30,852.44 = 6,714 : x
  2. Step 2: Convert to fraction form
    20,565.04/30,852.44 = 6,714/x
  3. Step 3: Cross multiply
    20,565.04x = 30,852.44 × 6,714
  4. Step 4: Simplify right side
    20,565.04x = 207,143,282.16
  5. Step 5: Solve for x
    x = 207,143,282.16/20,565.04
  6. Step 6: Final answer
    x = 10,072.59

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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.