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Finding the Fourth Proportional to 16,393.84, 24,574.14 and 7,039.96

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Solution

The fourth proportional to 16,393.84, 24,574.14 and 7,039.96 is: 10,552.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,393.84 : 24,574.14 = 7,039.96 : x
  2. Step 2: Convert to fraction form
    16,393.84/24,574.14 = 7,039.96/x
  3. Step 3: Cross multiply
    16,393.84x = 24,574.14 × 7,039.96
  4. Step 4: Simplify right side
    16,393.84x = 173,000,962.63
  5. Step 5: Solve for x
    x = 173,000,962.63/16,393.84
  6. Step 6: Final answer
    x = 10,552.80

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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.