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Finding the Fourth Proportional to 20,777.56, 31,148.98 and 9,678.53

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Solution

The fourth proportional to 20,777.56, 31,148.98 and 9,678.53 is: 14,509.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,777.56 : 31,148.98 = 9,678.53 : x
  2. Step 2: Convert to fraction form
    20,777.56/31,148.98 = 9,678.53/x
  3. Step 3: Cross multiply
    20,777.56x = 31,148.98 × 9,678.53
  4. Step 4: Simplify right side
    20,777.56x = 301,476,337.40
  5. Step 5: Solve for x
    x = 301,476,337.40/20,777.56
  6. Step 6: Final answer
    x = 14,509.71

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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.