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Finding the Fourth Proportional to 23,424.38, 32,325.75 and 12,813.99

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Solution

The fourth proportional to 23,424.38, 32,325.75 and 12,813.99 is: 17,683.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,424.38 : 32,325.75 = 12,813.99 : x
  2. Step 2: Convert to fraction form
    23,424.38/32,325.75 = 12,813.99/x
  3. Step 3: Cross multiply
    23,424.38x = 32,325.75 × 12,813.99
  4. Step 4: Simplify right side
    23,424.38x = 414,221,837.24
  5. Step 5: Solve for x
    x = 414,221,837.24/23,424.38
  6. Step 6: Final answer
    x = 17,683.36

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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.