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Finding the Fourth Proportional to 23,203.22, 32,020.26 and 12,592.86

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Solution

The fourth proportional to 23,203.22, 32,020.26 and 12,592.86 is: 17,378.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,203.22 : 32,020.26 = 12,592.86 : x
  2. Step 2: Convert to fraction form
    23,203.22/32,020.26 = 12,592.86/x
  3. Step 3: Cross multiply
    23,203.22x = 32,020.26 × 12,592.86
  4. Step 4: Simplify right side
    23,203.22x = 403,226,484.04
  5. Step 5: Solve for x
    x = 403,226,484.04/23,203.22
  6. Step 6: Final answer
    x = 17,378.04

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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.