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Finding the Fourth Proportional to 15,769.80, 23,712.30 and 13,235.40

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Solution

The fourth proportional to 15,769.80, 23,712.30 and 13,235.40 is: 19,901.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,769.80 : 23,712.30 = 13,235.40 : x
  2. Step 2: Convert to fraction form
    15,769.80/23,712.30 = 13,235.40/x
  3. Step 3: Cross multiply
    15,769.80x = 23,712.30 × 13,235.40
  4. Step 4: Simplify right side
    15,769.80x = 313,841,775.42
  5. Step 5: Solve for x
    x = 313,841,775.42/15,769.80
  6. Step 6: Final answer
    x = 19,901.44

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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.