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Finding the Fourth Proportional to 16,282.08, 24,424.74 and 7,519.50

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Solution

The fourth proportional to 16,282.08, 24,424.74 and 7,519.50 is: 11,280.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,282.08 : 24,424.74 = 7,519.50 : x
  2. Step 2: Convert to fraction form
    16,282.08/24,424.74 = 7,519.50/x
  3. Step 3: Cross multiply
    16,282.08x = 24,424.74 × 7,519.50
  4. Step 4: Simplify right side
    16,282.08x = 183,661,832.43
  5. Step 5: Solve for x
    x = 183,661,832.43/16,282.08
  6. Step 6: Final answer
    x = 11,280.00

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Why These Related Problems?

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