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Finding the Fourth Proportional to 23,578.86, 32,538.48 and 12,967.86

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Solution

The fourth proportional to 23,578.86, 32,538.48 and 12,967.86 is: 17,895.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,578.86 : 32,538.48 = 12,967.86 : x
  2. Step 2: Convert to fraction form
    23,578.86/32,538.48 = 12,967.86/x
  3. Step 3: Cross multiply
    23,578.86x = 32,538.48 × 12,967.86
  4. Step 4: Simplify right side
    23,578.86x = 421,954,453.25
  5. Step 5: Solve for x
    x = 421,954,453.25/23,578.86
  6. Step 6: Final answer
    x = 17,895.46

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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.