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Finding the Fourth Proportional to 21,427.69, 32,129.22 and 11,420.11

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Solution

The fourth proportional to 21,427.69, 32,129.22 and 11,420.11 is: 17,123.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,427.69 : 32,129.22 = 11,420.11 : x
  2. Step 2: Convert to fraction form
    21,427.69/32,129.22 = 11,420.11/x
  3. Step 3: Cross multiply
    21,427.69x = 32,129.22 × 11,420.11
  4. Step 4: Simplify right side
    21,427.69x = 366,919,226.61
  5. Step 5: Solve for x
    x = 366,919,226.61/21,427.69
  6. Step 6: Final answer
    x = 17,123.60

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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.