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Finding the Fourth Proportional to 24,294.01, 33,514.28 and 14,216.21

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Solution

The fourth proportional to 24,294.01, 33,514.28 and 14,216.21 is: 19,611.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,294.01 : 33,514.28 = 14,216.21 : x
  2. Step 2: Convert to fraction form
    24,294.01/33,514.28 = 14,216.21/x
  3. Step 3: Cross multiply
    24,294.01x = 33,514.28 × 14,216.21
  4. Step 4: Simplify right side
    24,294.01x = 476,446,038.88
  5. Step 5: Solve for x
    x = 476,446,038.88/24,294.01
  6. Step 6: Final answer
    x = 19,611.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.