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Finding the Fourth Proportional to 12,563.93, 17,338.98 and 6,974.93

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Solution

The fourth proportional to 12,563.93, 17,338.98 and 6,974.93 is: 9,625.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,563.93 : 17,338.98 = 6,974.93 : x
  2. Step 2: Convert to fraction form
    12,563.93/17,338.98 = 6,974.93/x
  3. Step 3: Cross multiply
    12,563.93x = 17,338.98 × 6,974.93
  4. Step 4: Simplify right side
    12,563.93x = 120,938,085.08
  5. Step 5: Solve for x
    x = 120,938,085.08/12,563.93
  6. Step 6: Final answer
    x = 9,625.82

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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.