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Finding the Fourth Proportional to 23,357.34, 32,233.05 and 12,746.96

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Solution

The fourth proportional to 23,357.34, 32,233.05 and 12,746.96 is: 17,590.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,357.34 : 32,233.05 = 12,746.96 : x
  2. Step 2: Convert to fraction form
    23,357.34/32,233.05 = 12,746.96/x
  3. Step 3: Cross multiply
    23,357.34x = 32,233.05 × 12,746.96
  4. Step 4: Simplify right side
    23,357.34x = 410,873,237.86
  5. Step 5: Solve for x
    x = 410,873,237.86/23,357.34
  6. Step 6: Final answer
    x = 17,590.75

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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.