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Finding the Fourth Proportional to 19,743.76, 29,616 and 8,048.80

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Solution

The fourth proportional to 19,743.76, 29,616 and 8,048.80 is: 12,073.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,743.76 : 29,616 = 8,048.80 : x
  2. Step 2: Convert to fraction form
    19,743.76/29,616 = 8,048.80/x
  3. Step 3: Cross multiply
    19,743.76x = 29,616 × 8,048.80
  4. Step 4: Simplify right side
    19,743.76x = 238,373,260.80
  5. Step 5: Solve for x
    x = 238,373,260.80/19,743.76
  6. Step 6: Final answer
    x = 12,073.35

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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.