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Finding the Fourth Proportional to 12,344.82, 17,036.10 and 7,307.19

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Solution

The fourth proportional to 12,344.82, 17,036.10 and 7,307.19 is: 10,084.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,344.82 : 17,036.10 = 7,307.19 : x
  2. Step 2: Convert to fraction form
    12,344.82/17,036.10 = 7,307.19/x
  3. Step 3: Cross multiply
    12,344.82x = 17,036.10 × 7,307.19
  4. Step 4: Simplify right side
    12,344.82x = 124,486,019.56
  5. Step 5: Solve for x
    x = 124,486,019.56/12,344.82
  6. Step 6: Final answer
    x = 10,084.07

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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.