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Finding the Fourth Proportional to 12,362.49, 17,081.82 and 9,730.80

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Solution

The fourth proportional to 12,362.49, 17,081.82 and 9,730.80 is: 13,445.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,362.49 : 17,081.82 = 9,730.80 : x
  2. Step 2: Convert to fraction form
    12,362.49/17,081.82 = 9,730.80/x
  3. Step 3: Cross multiply
    12,362.49x = 17,081.82 × 9,730.80
  4. Step 4: Simplify right side
    12,362.49x = 166,219,774.06
  5. Step 5: Solve for x
    x = 166,219,774.06/12,362.49
  6. Step 6: Final answer
    x = 13,445.49

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