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Finding the Fourth Proportional to 23,755.66, 32,782.11 and 13,000.23

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Solution

The fourth proportional to 23,755.66, 32,782.11 and 13,000.23 is: 17,939.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,755.66 : 32,782.11 = 13,000.23 : x
  2. Step 2: Convert to fraction form
    23,755.66/32,782.11 = 13,000.23/x
  3. Step 3: Cross multiply
    23,755.66x = 32,782.11 × 13,000.23
  4. Step 4: Simplify right side
    23,755.66x = 426,174,969.89
  5. Step 5: Solve for x
    x = 426,174,969.89/23,755.66
  6. Step 6: Final answer
    x = 17,939.93

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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.