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Finding the Fourth Proportional to 19,332.82, 28,993.05 and 6,182.06

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Solution

The fourth proportional to 19,332.82, 28,993.05 and 6,182.06 is: 9,271.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,332.82 : 28,993.05 = 6,182.06 : x
  2. Step 2: Convert to fraction form
    19,332.82/28,993.05 = 6,182.06/x
  3. Step 3: Cross multiply
    19,332.82x = 28,993.05 × 6,182.06
  4. Step 4: Simplify right side
    19,332.82x = 179,236,847.17
  5. Step 5: Solve for x
    x = 179,236,847.17/19,332.82
  6. Step 6: Final answer
    x = 9,271.12

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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.