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Finding the Fourth Proportional to 16,284.58, 24,402.95 and 7,267.76

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Solution

The fourth proportional to 16,284.58, 24,402.95 and 7,267.76 is: 10,890.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,284.58 : 24,402.95 = 7,267.76 : x
  2. Step 2: Convert to fraction form
    16,284.58/24,402.95 = 7,267.76/x
  3. Step 3: Cross multiply
    16,284.58x = 24,402.95 × 7,267.76
  4. Step 4: Simplify right side
    16,284.58x = 177,354,783.89
  5. Step 5: Solve for x
    x = 177,354,783.89/16,284.58
  6. Step 6: Final answer
    x = 10,890.96

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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.