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Finding the Fourth Proportional to 21,120.96, 31,681.08 and 6,329.64

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Solution

The fourth proportional to 21,120.96, 31,681.08 and 6,329.64 is: 9,494.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,120.96 : 31,681.08 = 6,329.64 : x
  2. Step 2: Convert to fraction form
    21,120.96/31,681.08 = 6,329.64/x
  3. Step 3: Cross multiply
    21,120.96x = 31,681.08 × 6,329.64
  4. Step 4: Simplify right side
    21,120.96x = 200,529,831.21
  5. Step 5: Solve for x
    x = 200,529,831.21/21,120.96
  6. Step 6: Final answer
    x = 9,494.35

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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.