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Finding the Fourth Proportional to 23,652.61, 32,638.94 and 13,042.02

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Solution

The fourth proportional to 23,652.61, 32,638.94 and 13,042.02 is: 17,997.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,652.61 : 32,638.94 = 13,042.02 : x
  2. Step 2: Convert to fraction form
    23,652.61/32,638.94 = 13,042.02/x
  3. Step 3: Cross multiply
    23,652.61x = 32,638.94 × 13,042.02
  4. Step 4: Simplify right side
    23,652.61x = 425,677,520.65
  5. Step 5: Solve for x
    x = 425,677,520.65/23,652.61
  6. Step 6: Final answer
    x = 17,997.06

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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.