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Finding the Fourth Proportional to 21,273.60, 31,924.80 and 9,580.80

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Solution

The fourth proportional to 21,273.60, 31,924.80 and 9,580.80 is: 14,377.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,273.60 : 31,924.80 = 9,580.80 : x
  2. Step 2: Convert to fraction form
    21,273.60/31,924.80 = 9,580.80/x
  3. Step 3: Cross multiply
    21,273.60x = 31,924.80 × 9,580.80
  4. Step 4: Simplify right side
    21,273.60x = 305,865,123.84
  5. Step 5: Solve for x
    x = 305,865,123.84/21,273.60
  6. Step 6: Final answer
    x = 14,377.69

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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.