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Finding the Fourth Proportional to 21,284.32, 31,931.17 and 6,494.38

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Solution

The fourth proportional to 21,284.32, 31,931.17 and 6,494.38 is: 9,743.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,284.32 : 31,931.17 = 6,494.38 : x
  2. Step 2: Convert to fraction form
    21,284.32/31,931.17 = 6,494.38/x
  3. Step 3: Cross multiply
    21,284.32x = 31,931.17 × 6,494.38
  4. Step 4: Simplify right side
    21,284.32x = 207,372,975.93
  5. Step 5: Solve for x
    x = 207,372,975.93/21,284.32
  6. Step 6: Final answer
    x = 9,743.00

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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.