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Finding the Fourth Proportional to 13,730.82, 18,948.78 and 9,482.76

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Solution

The fourth proportional to 13,730.82, 18,948.78 and 9,482.76 is: 13,086.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,730.82 : 18,948.78 = 9,482.76 : x
  2. Step 2: Convert to fraction form
    13,730.82/18,948.78 = 9,482.76/x
  3. Step 3: Cross multiply
    13,730.82x = 18,948.78 × 9,482.76
  4. Step 4: Simplify right side
    13,730.82x = 179,686,733.03
  5. Step 5: Solve for x
    x = 179,686,733.03/13,730.82
  6. Step 6: Final answer
    x = 13,086.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.