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Finding the Fourth Proportional to 16,509.79, 24,764.25 and 4,664.39

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Solution

The fourth proportional to 16,509.79, 24,764.25 and 4,664.39 is: 6,996.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,509.79 : 24,764.25 = 4,664.39 : x
  2. Step 2: Convert to fraction form
    16,509.79/24,764.25 = 4,664.39/x
  3. Step 3: Cross multiply
    16,509.79x = 24,764.25 × 4,664.39
  4. Step 4: Simplify right side
    16,509.79x = 115,509,987.49
  5. Step 5: Solve for x
    x = 115,509,987.49/16,509.79
  6. Step 6: Final answer
    x = 6,996.45

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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.