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Finding the Fourth Proportional to 23,543.14, 32,489.77 and 12,788.12

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Solution

The fourth proportional to 23,543.14, 32,489.77 and 12,788.12 is: 17,647.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,543.14 : 32,489.77 = 12,788.12 : x
  2. Step 2: Convert to fraction form
    23,543.14/32,489.77 = 12,788.12/x
  3. Step 3: Cross multiply
    23,543.14x = 32,489.77 × 12,788.12
  4. Step 4: Simplify right side
    23,543.14x = 415,483,077.53
  5. Step 5: Solve for x
    x = 415,483,077.53/23,543.14
  6. Step 6: Final answer
    x = 17,647.73

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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.