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Finding the Fourth Proportional to 13,528.65, 20,295.77 and 4,769.67

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Solution

The fourth proportional to 13,528.65, 20,295.77 and 4,769.67 is: 7,155.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,528.65 : 20,295.77 = 4,769.67 : x
  2. Step 2: Convert to fraction form
    13,528.65/20,295.77 = 4,769.67/x
  3. Step 3: Cross multiply
    13,528.65x = 20,295.77 × 4,769.67
  4. Step 4: Simplify right side
    13,528.65x = 96,804,101.45
  5. Step 5: Solve for x
    x = 96,804,101.45/13,528.65
  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.