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Finding the Fourth Proportional to 15,578.82, 21,495.48 and 9,911.50

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Solution

The fourth proportional to 15,578.82, 21,495.48 and 9,911.50 is: 13,675.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,578.82 : 21,495.48 = 9,911.50 : x
  2. Step 2: Convert to fraction form
    15,578.82/21,495.48 = 9,911.50/x
  3. Step 3: Cross multiply
    15,578.82x = 21,495.48 × 9,911.50
  4. Step 4: Simplify right side
    15,578.82x = 213,052,450.02
  5. Step 5: Solve for x
    x = 213,052,450.02/15,578.82
  6. Step 6: Final answer
    x = 13,675.78

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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.