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Finding the Fourth Proportional to 13,528.92, 20,295 and 4,762.02

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Solution

The fourth proportional to 13,528.92, 20,295 and 4,762.02 is: 7,143.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,528.92 : 20,295 = 4,762.02 : x
  2. Step 2: Convert to fraction form
    13,528.92/20,295 = 4,762.02/x
  3. Step 3: Cross multiply
    13,528.92x = 20,295 × 4,762.02
  4. Step 4: Simplify right side
    13,528.92x = 96,645,195.90
  5. Step 5: Solve for x
    x = 96,645,195.90/13,528.92
  6. Step 6: Final answer
    x = 7,143.60

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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.