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Finding the Fourth Proportional to 14,584.60, 21,833.70 and 13,730.20

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Solution

The fourth proportional to 14,584.60, 21,833.70 and 13,730.20 is: 20,554.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,584.60 : 21,833.70 = 13,730.20 : x
  2. Step 2: Convert to fraction form
    14,584.60/21,833.70 = 13,730.20/x
  3. Step 3: Cross multiply
    14,584.60x = 21,833.70 × 13,730.20
  4. Step 4: Simplify right side
    14,584.60x = 299,781,067.74
  5. Step 5: Solve for x
    x = 299,781,067.74/14,584.60
  6. Step 6: Final answer
    x = 20,554.63

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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.