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Finding the Fourth Proportional to 14,292.80, 21,410.40 and 8,129.60

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Solution

The fourth proportional to 14,292.80, 21,410.40 and 8,129.60 is: 12,178.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,292.80 : 21,410.40 = 8,129.60 : x
  2. Step 2: Convert to fraction form
    14,292.80/21,410.40 = 8,129.60/x
  3. Step 3: Cross multiply
    14,292.80x = 21,410.40 × 8,129.60
  4. Step 4: Simplify right side
    14,292.80x = 174,057,987.84
  5. Step 5: Solve for x
    x = 174,057,987.84/14,292.80
  6. Step 6: Final answer
    x = 12,178.02

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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.