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Finding the Fourth Proportional to 17,580.25, 24,260.75 and 13,107.84

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Solution

The fourth proportional to 17,580.25, 24,260.75 and 13,107.84 is: 18,088.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,580.25 : 24,260.75 = 13,107.84 : x
  2. Step 2: Convert to fraction form
    17,580.25/24,260.75 = 13,107.84/x
  3. Step 3: Cross multiply
    17,580.25x = 24,260.75 × 13,107.84
  4. Step 4: Simplify right side
    17,580.25x = 318,006,029.28
  5. Step 5: Solve for x
    x = 318,006,029.28/17,580.25
  6. Step 6: Final answer
    x = 18,088.82

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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.