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Finding the Fourth Proportional to 21,316.42, 31,969.80 and 6,320.44

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Solution

The fourth proportional to 21,316.42, 31,969.80 and 6,320.44 is: 9,479.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,316.42 : 31,969.80 = 6,320.44 : x
  2. Step 2: Convert to fraction form
    21,316.42/31,969.80 = 6,320.44/x
  3. Step 3: Cross multiply
    21,316.42x = 31,969.80 × 6,320.44
  4. Step 4: Simplify right side
    21,316.42x = 202,063,202.71
  5. Step 5: Solve for x
    x = 202,063,202.71/21,316.42
  6. Step 6: Final answer
    x = 9,479.23

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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.