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Finding the Fourth Proportional to 21,642.14, 32,421.11 and 14,224.05

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Solution

The fourth proportional to 21,642.14, 32,421.11 and 14,224.05 is: 21,308.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,642.14 : 32,421.11 = 14,224.05 : x
  2. Step 2: Convert to fraction form
    21,642.14/32,421.11 = 14,224.05/x
  3. Step 3: Cross multiply
    21,642.14x = 32,421.11 × 14,224.05
  4. Step 4: Simplify right side
    21,642.14x = 461,159,418.58
  5. Step 5: Solve for x
    x = 461,159,418.58/21,642.14
  6. Step 6: Final answer
    x = 21,308.41

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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.