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Finding the Fourth Proportional to 13,730.40, 20,595.60 and 4,965.60

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Solution

The fourth proportional to 13,730.40, 20,595.60 and 4,965.60 is: 7,448.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,730.40 : 20,595.60 = 4,965.60 : x
  2. Step 2: Convert to fraction form
    13,730.40/20,595.60 = 4,965.60/x
  3. Step 3: Cross multiply
    13,730.40x = 20,595.60 × 4,965.60
  4. Step 4: Simplify right side
    13,730.40x = 102,269,511.36
  5. Step 5: Solve for x
    x = 102,269,511.36/13,730.40
  6. Step 6: Final answer
    x = 7,448.40

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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.