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Finding the Fourth Proportional to 15,770.80, 23,634.60 and 12,854.80

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Solution

The fourth proportional to 15,770.80, 23,634.60 and 12,854.80 is: 19,264.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,770.80 : 23,634.60 = 12,854.80 : x
  2. Step 2: Convert to fraction form
    15,770.80/23,634.60 = 12,854.80/x
  3. Step 3: Cross multiply
    15,770.80x = 23,634.60 × 12,854.80
  4. Step 4: Simplify right side
    15,770.80x = 303,818,056.08
  5. Step 5: Solve for x
    x = 303,818,056.08/15,770.80
  6. Step 6: Final answer
    x = 19,264.59

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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.