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Finding the Fourth Proportional to 24,274.88, 36,349.92 and 14,420.96

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Solution

The fourth proportional to 24,274.88, 36,349.92 and 14,420.96 is: 21,594.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,274.88 : 36,349.92 = 14,420.96 : x
  2. Step 2: Convert to fraction form
    24,274.88/36,349.92 = 14,420.96/x
  3. Step 3: Cross multiply
    24,274.88x = 36,349.92 × 14,420.96
  4. Step 4: Simplify right side
    24,274.88x = 524,200,742.32
  5. Step 5: Solve for x
    x = 524,200,742.32/24,274.88
  6. Step 6: Final answer
    x = 21,594.37

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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.