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Finding the Fourth Proportional to 15,584.12, 21,505.97 and 8,510.54

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Solution

The fourth proportional to 15,584.12, 21,505.97 and 8,510.54 is: 11,744.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,584.12 : 21,505.97 = 8,510.54 : x
  2. Step 2: Convert to fraction form
    15,584.12/21,505.97 = 8,510.54/x
  3. Step 3: Cross multiply
    15,584.12x = 21,505.97 × 8,510.54
  4. Step 4: Simplify right side
    15,584.12x = 183,027,267.84
  5. Step 5: Solve for x
    x = 183,027,267.84/15,584.12
  6. Step 6: Final answer
    x = 11,744.48

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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.