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Finding the Fourth Proportional to 14,828.50, 20,463.33 and 9,239.50

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Solution

The fourth proportional to 14,828.50, 20,463.33 and 9,239.50 is: 12,750.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,828.50 : 20,463.33 = 9,239.50 : x
  2. Step 2: Convert to fraction form
    14,828.50/20,463.33 = 9,239.50/x
  3. Step 3: Cross multiply
    14,828.50x = 20,463.33 × 9,239.50
  4. Step 4: Simplify right side
    14,828.50x = 189,070,937.54
  5. Step 5: Solve for x
    x = 189,070,937.54/14,828.50
  6. Step 6: Final answer
    x = 12,750.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.