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Finding the Fourth Proportional to 23,513.70, 32,448.77 and 12,758.34

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Solution

The fourth proportional to 23,513.70, 32,448.77 and 12,758.34 is: 17,606.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,513.70 : 32,448.77 = 12,758.34 : x
  2. Step 2: Convert to fraction form
    23,513.70/32,448.77 = 12,758.34/x
  3. Step 3: Cross multiply
    23,513.70x = 32,448.77 × 12,758.34
  4. Step 4: Simplify right side
    23,513.70x = 413,992,545.98
  5. Step 5: Solve for x
    x = 413,992,545.98/23,513.70
  6. Step 6: Final answer
    x = 17,606.44

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