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Finding the Fourth Proportional to 14,282.40, 21,410.80 and 12,727.20

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Solution

The fourth proportional to 14,282.40, 21,410.80 and 12,727.20 is: 19,079.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,282.40 : 21,410.80 = 12,727.20 : x
  2. Step 2: Convert to fraction form
    14,282.40/21,410.80 = 12,727.20/x
  3. Step 3: Cross multiply
    14,282.40x = 21,410.80 × 12,727.20
  4. Step 4: Simplify right side
    14,282.40x = 272,499,533.76
  5. Step 5: Solve for x
    x = 272,499,533.76/14,282.40
  6. Step 6: Final answer
    x = 19,079.39

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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.