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Finding the Fourth Proportional to 20,923.53, 31,389.89 and 9,830.31

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Solution

The fourth proportional to 20,923.53, 31,389.89 and 9,830.31 is: 14,747.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,923.53 : 31,389.89 = 9,830.31 : x
  2. Step 2: Convert to fraction form
    20,923.53/31,389.89 = 9,830.31/x
  3. Step 3: Cross multiply
    20,923.53x = 31,389.89 × 9,830.31
  4. Step 4: Simplify right side
    20,923.53x = 308,572,300.41
  5. Step 5: Solve for x
    x = 308,572,300.41/20,923.53
  6. Step 6: Final answer
    x = 14,747.62

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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.