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Finding the Fourth Proportional to 15,682.80, 23,581.80 and 13,148.40

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Solution

The fourth proportional to 15,682.80, 23,581.80 and 13,148.40 is: 19,770.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,682.80 : 23,581.80 = 13,148.40 : x
  2. Step 2: Convert to fraction form
    15,682.80/23,581.80 = 13,148.40/x
  3. Step 3: Cross multiply
    15,682.80x = 23,581.80 × 13,148.40
  4. Step 4: Simplify right side
    15,682.80x = 310,062,939.12
  5. Step 5: Solve for x
    x = 310,062,939.12/15,682.80
  6. Step 6: Final answer
    x = 19,770.89

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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.