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Finding the Fourth Proportional to 15,698.35, 21,664.77 and 8,624.83

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Solution

The fourth proportional to 15,698.35, 21,664.77 and 8,624.83 is: 11,902.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,698.35 : 21,664.77 = 8,624.83 : x
  2. Step 2: Convert to fraction form
    15,698.35/21,664.77 = 8,624.83/x
  3. Step 3: Cross multiply
    15,698.35x = 21,664.77 × 8,624.83
  4. Step 4: Simplify right side
    15,698.35x = 186,854,958.24
  5. Step 5: Solve for x
    x = 186,854,958.24/15,698.35
  6. Step 6: Final answer
    x = 11,902.84

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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.