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Finding the Fourth Proportional to 23,823.59, 32,878.04 and 13,213.22

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Solution

The fourth proportional to 23,823.59, 32,878.04 and 13,213.22 is: 18,235.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,823.59 : 32,878.04 = 13,213.22 : x
  2. Step 2: Convert to fraction form
    23,823.59/32,878.04 = 13,213.22/x
  3. Step 3: Cross multiply
    23,823.59x = 32,878.04 × 13,213.22
  4. Step 4: Simplify right side
    23,823.59x = 434,424,775.69
  5. Step 5: Solve for x
    x = 434,424,775.69/23,823.59
  6. Step 6: Final answer
    x = 18,235.07

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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.