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Finding the Fourth Proportional to 15,784.80, 23,677.20 and 13,279.20

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Solution

The fourth proportional to 15,784.80, 23,677.20 and 13,279.20 is: 19,918.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,784.80 : 23,677.20 = 13,279.20 : x
  2. Step 2: Convert to fraction form
    15,784.80/23,677.20 = 13,279.20/x
  3. Step 3: Cross multiply
    15,784.80x = 23,677.20 × 13,279.20
  4. Step 4: Simplify right side
    15,784.80x = 314,414,274.24
  5. Step 5: Solve for x
    x = 314,414,274.24/15,784.80
  6. Step 6: Final answer
    x = 19,918.80

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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.