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Finding the Fourth Proportional to 15,677.58, 23,524.41 and 10,416.21

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Solution

The fourth proportional to 15,677.58, 23,524.41 and 10,416.21 is: 15,629.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,677.58 : 23,524.41 = 10,416.21 : x
  2. Step 2: Convert to fraction form
    15,677.58/23,524.41 = 10,416.21/x
  3. Step 3: Cross multiply
    15,677.58x = 23,524.41 × 10,416.21
  4. Step 4: Simplify right side
    15,677.58x = 245,035,194.69
  5. Step 5: Solve for x
    x = 245,035,194.69/15,677.58
  6. Step 6: Final answer
    x = 15,629.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.