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Finding the Fourth Proportional to 23,654.45, 32,641.65 and 13,575.80

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Solution

The fourth proportional to 23,654.45, 32,641.65 and 13,575.80 is: 18,733.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,654.45 : 32,641.65 = 13,575.80 : x
  2. Step 2: Convert to fraction form
    23,654.45/32,641.65 = 13,575.80/x
  3. Step 3: Cross multiply
    23,654.45x = 32,641.65 × 13,575.80
  4. Step 4: Simplify right side
    23,654.45x = 443,136,323.41
  5. Step 5: Solve for x
    x = 443,136,323.41/23,654.45
  6. Step 6: Final answer
    x = 18,733.74

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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.