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Finding the Fourth Proportional to 16,310.94, 24,478.62 and 7,552

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Solution

The fourth proportional to 16,310.94, 24,478.62 and 7,552 is: 11,333.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,310.94 : 24,478.62 = 7,552 : x
  2. Step 2: Convert to fraction form
    16,310.94/24,478.62 = 7,552/x
  3. Step 3: Cross multiply
    16,310.94x = 24,478.62 × 7,552
  4. Step 4: Simplify right side
    16,310.94x = 184,862,538.24
  5. Step 5: Solve for x
    x = 184,862,538.24/16,310.94
  6. Step 6: Final answer
    x = 11,333.65

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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.