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Finding the Fourth Proportional to 13,652.54, 20,483.74 and 4,769.18

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Solution

The fourth proportional to 13,652.54, 20,483.74 and 4,769.18 is: 7,155.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,652.54 : 20,483.74 = 4,769.18 : x
  2. Step 2: Convert to fraction form
    13,652.54/20,483.74 = 4,769.18/x
  3. Step 3: Cross multiply
    13,652.54x = 20,483.74 × 4,769.18
  4. Step 4: Simplify right side
    13,652.54x = 97,690,623.49
  5. Step 5: Solve for x
    x = 97,690,623.49/13,652.54
  6. Step 6: Final answer
    x = 7,155.49

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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.