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Finding the Fourth Proportional to 21,412.49, 32,110.22 and 8,256.47

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Solution

The fourth proportional to 21,412.49, 32,110.22 and 8,256.47 is: 12,381.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,412.49 : 32,110.22 = 8,256.47 : x
  2. Step 2: Convert to fraction form
    21,412.49/32,110.22 = 8,256.47/x
  3. Step 3: Cross multiply
    21,412.49x = 32,110.22 × 8,256.47
  4. Step 4: Simplify right side
    21,412.49x = 265,116,928.21
  5. Step 5: Solve for x
    x = 265,116,928.21/21,412.49
  6. Step 6: Final answer
    x = 12,381.42

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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.