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Finding the Fourth Proportional to 23,688.81, 32,690.82 and 13,078.44

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Solution

The fourth proportional to 23,688.81, 32,690.82 and 13,078.44 is: 18,048.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,688.81 : 32,690.82 = 13,078.44 : x
  2. Step 2: Convert to fraction form
    23,688.81/32,690.82 = 13,078.44/x
  3. Step 3: Cross multiply
    23,688.81x = 32,690.82 × 13,078.44
  4. Step 4: Simplify right side
    23,688.81x = 427,544,927.92
  5. Step 5: Solve for x
    x = 427,544,927.92/23,688.81
  6. Step 6: Final answer
    x = 18,048.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.