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Finding the Fourth Proportional to 20,653.77, 30,980.67 and 5,071.53

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Solution

The fourth proportional to 20,653.77, 30,980.67 and 5,071.53 is: 7,607.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,653.77 : 30,980.67 = 5,071.53 : x
  2. Step 2: Convert to fraction form
    20,653.77/30,980.67 = 5,071.53/x
  3. Step 3: Cross multiply
    20,653.77x = 30,980.67 × 5,071.53
  4. Step 4: Simplify right side
    20,653.77x = 157,119,397.33
  5. Step 5: Solve for x
    x = 157,119,397.33/20,653.77
  6. Step 6: Final answer
    x = 7,607.30

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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.