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Finding the Fourth Proportional to 13,165.60, 19,743.60 and 5,264.80

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Solution

The fourth proportional to 13,165.60, 19,743.60 and 5,264.80 is: 7,895.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,165.60 : 19,743.60 = 5,264.80 : x
  2. Step 2: Convert to fraction form
    13,165.60/19,743.60 = 5,264.80/x
  3. Step 3: Cross multiply
    13,165.60x = 19,743.60 × 5,264.80
  4. Step 4: Simplify right side
    13,165.60x = 103,946,105.28
  5. Step 5: Solve for x
    x = 103,946,105.28/13,165.60
  6. Step 6: Final answer
    x = 7,895.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.