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Finding the Fourth Proportional to 13,930.74, 20,898.22 and 5,048.16

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Solution

The fourth proportional to 13,930.74, 20,898.22 and 5,048.16 is: 7,573.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,930.74 : 20,898.22 = 5,048.16 : x
  2. Step 2: Convert to fraction form
    13,930.74/20,898.22 = 5,048.16/x
  3. Step 3: Cross multiply
    13,930.74x = 20,898.22 × 5,048.16
  4. Step 4: Simplify right side
    13,930.74x = 105,497,558.28
  5. Step 5: Solve for x
    x = 105,497,558.28/13,930.74
  6. Step 6: Final answer
    x = 7,573.00

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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.