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Finding the Fourth Proportional to 12,348.69, 17,038.56 and 7,314.49

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Solution

The fourth proportional to 12,348.69, 17,038.56 and 7,314.49 is: 10,092.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,348.69 : 17,038.56 = 7,314.49 : x
  2. Step 2: Convert to fraction form
    12,348.69/17,038.56 = 7,314.49/x
  3. Step 3: Cross multiply
    12,348.69x = 17,038.56 × 7,314.49
  4. Step 4: Simplify right side
    12,348.69x = 124,628,376.73
  5. Step 5: Solve for x
    x = 124,628,376.73/12,348.69
  6. Step 6: Final answer
    x = 10,092.44

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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.