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Finding the Fourth Proportional to 23,543.34, 32,489.70 and 12,788.16

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Solution

The fourth proportional to 23,543.34, 32,489.70 and 12,788.16 is: 17,647.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,543.34 : 32,489.70 = 12,788.16 : x
  2. Step 2: Convert to fraction form
    23,543.34/32,489.70 = 12,788.16/x
  3. Step 3: Cross multiply
    23,543.34x = 32,489.70 × 12,788.16
  4. Step 4: Simplify right side
    23,543.34x = 415,483,481.95
  5. Step 5: Solve for x
    x = 415,483,481.95/23,543.34
  6. Step 6: Final answer
    x = 17,647.60

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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.