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Finding the Fourth Proportional to 13,132.80, 19,682.10 and 5,332.50

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Solution

The fourth proportional to 13,132.80, 19,682.10 and 5,332.50 is: 7,991.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,132.80 : 19,682.10 = 5,332.50 : x
  2. Step 2: Convert to fraction form
    13,132.80/19,682.10 = 5,332.50/x
  3. Step 3: Cross multiply
    13,132.80x = 19,682.10 × 5,332.50
  4. Step 4: Simplify right side
    13,132.80x = 104,954,798.25
  5. Step 5: Solve for x
    x = 104,954,798.25/13,132.80
  6. Step 6: Final answer
    x = 7,991.81

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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.