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Finding the Fourth Proportional to 15,884.54, 21,914.88 and 9,511.34

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Solution

The fourth proportional to 15,884.54, 21,914.88 and 9,511.34 is: 13,122.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,884.54 : 21,914.88 = 9,511.34 : x
  2. Step 2: Convert to fraction form
    15,884.54/21,914.88 = 9,511.34/x
  3. Step 3: Cross multiply
    15,884.54x = 21,914.88 × 9,511.34
  4. Step 4: Simplify right side
    15,884.54x = 208,439,874.74
  5. Step 5: Solve for x
    x = 208,439,874.74/15,884.54
  6. Step 6: Final answer
    x = 13,122.19

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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.