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Finding the Fourth Proportional to 15,657.84, 21,608.10 and 8,584.18

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Solution

The fourth proportional to 15,657.84, 21,608.10 and 8,584.18 is: 11,846.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,657.84 : 21,608.10 = 8,584.18 : x
  2. Step 2: Convert to fraction form
    15,657.84/21,608.10 = 8,584.18/x
  3. Step 3: Cross multiply
    15,657.84x = 21,608.10 × 8,584.18
  4. Step 4: Simplify right side
    15,657.84x = 185,487,765.84
  5. Step 5: Solve for x
    x = 185,487,765.84/15,657.84
  6. Step 6: Final answer
    x = 11,846.32

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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.