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Finding the Fourth Proportional to 16,074.34, 24,101.80 and 7,184.86

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Solution

The fourth proportional to 16,074.34, 24,101.80 and 7,184.86 is: 10,772.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,074.34 : 24,101.80 = 7,184.86 : x
  2. Step 2: Convert to fraction form
    16,074.34/24,101.80 = 7,184.86/x
  3. Step 3: Cross multiply
    16,074.34x = 24,101.80 × 7,184.86
  4. Step 4: Simplify right side
    16,074.34x = 173,168,190.41
  5. Step 5: Solve for x
    x = 173,168,190.41/16,074.34
  6. Step 6: Final answer
    x = 10,772.96

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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.