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Finding the Fourth Proportional to 21,207.39, 31,813.74 and 6,975.60

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Solution

The fourth proportional to 21,207.39, 31,813.74 and 6,975.60 is: 10,464.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,207.39 : 31,813.74 = 6,975.60 : x
  2. Step 2: Convert to fraction form
    21,207.39/31,813.74 = 6,975.60/x
  3. Step 3: Cross multiply
    21,207.39x = 31,813.74 × 6,975.60
  4. Step 4: Simplify right side
    21,207.39x = 221,919,924.74
  5. Step 5: Solve for x
    x = 221,919,924.74/21,207.39
  6. Step 6: Final answer
    x = 10,464.27

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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.