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Finding the Fourth Proportional to 23,466.93, 32,384.84 and 14,514.27

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Solution

The fourth proportional to 23,466.93, 32,384.84 and 14,514.27 is: 20,029.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,466.93 : 32,384.84 = 14,514.27 : x
  2. Step 2: Convert to fraction form
    23,466.93/32,384.84 = 14,514.27/x
  3. Step 3: Cross multiply
    23,466.93x = 32,384.84 × 14,514.27
  4. Step 4: Simplify right side
    23,466.93x = 470,042,239.10
  5. Step 5: Solve for x
    x = 470,042,239.10/23,466.93
  6. Step 6: Final answer
    x = 20,029.98

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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.