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Finding the Fourth Proportional to 17,810.20, 24,573.66 and 11,515

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Solution

The fourth proportional to 17,810.20, 24,573.66 and 11,515 is: 15,887.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,810.20 : 24,573.66 = 11,515 : x
  2. Step 2: Convert to fraction form
    17,810.20/24,573.66 = 11,515/x
  3. Step 3: Cross multiply
    17,810.20x = 24,573.66 × 11,515
  4. Step 4: Simplify right side
    17,810.20x = 282,965,694.90
  5. Step 5: Solve for x
    x = 282,965,694.90/17,810.20
  6. Step 6: Final answer
    x = 15,887.84

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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.