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Finding the Fourth Proportional to 21,124.64, 31,730.16 and 17,843.60

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Solution

The fourth proportional to 21,124.64, 31,730.16 and 17,843.60 is: 26,801.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,124.64 : 31,730.16 = 17,843.60 : x
  2. Step 2: Convert to fraction form
    21,124.64/31,730.16 = 17,843.60/x
  3. Step 3: Cross multiply
    21,124.64x = 31,730.16 × 17,843.60
  4. Step 4: Simplify right side
    21,124.64x = 566,180,282.98
  5. Step 5: Solve for x
    x = 566,180,282.98/21,124.64
  6. Step 6: Final answer
    x = 26,801.89

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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.