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Finding the Fourth Proportional to 15,805.60, 23,682.80 and 13,194.40

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Solution

The fourth proportional to 15,805.60, 23,682.80 and 13,194.40 is: 19,770.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,805.60 : 23,682.80 = 13,194.40 : x
  2. Step 2: Convert to fraction form
    15,805.60/23,682.80 = 13,194.40/x
  3. Step 3: Cross multiply
    15,805.60x = 23,682.80 × 13,194.40
  4. Step 4: Simplify right side
    15,805.60x = 312,480,336.32
  5. Step 5: Solve for x
    x = 312,480,336.32/15,805.60
  6. Step 6: Final answer
    x = 19,770.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.