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Finding the Fourth Proportional to 16,343.45, 24,493.63 and 6,477.35

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Solution

The fourth proportional to 16,343.45, 24,493.63 and 6,477.35 is: 9,707.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,343.45 : 24,493.63 = 6,477.35 : x
  2. Step 2: Convert to fraction form
    16,343.45/24,493.63 = 6,477.35/x
  3. Step 3: Cross multiply
    16,343.45x = 24,493.63 × 6,477.35
  4. Step 4: Simplify right side
    16,343.45x = 158,653,814.28
  5. Step 5: Solve for x
    x = 158,653,814.28/16,343.45
  6. Step 6: Final answer
    x = 9,707.49

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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.