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Finding the Fourth Proportional to 15,314.85, 21,137.85 and 9,652.95

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Solution

The fourth proportional to 15,314.85, 21,137.85 and 9,652.95 is: 13,323.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,314.85 : 21,137.85 = 9,652.95 : x
  2. Step 2: Convert to fraction form
    15,314.85/21,137.85 = 9,652.95/x
  3. Step 3: Cross multiply
    15,314.85x = 21,137.85 × 9,652.95
  4. Step 4: Simplify right side
    15,314.85x = 204,042,609.16
  5. Step 5: Solve for x
    x = 204,042,609.16/15,314.85
  6. Step 6: Final answer
    x = 13,323.19

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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.